Controllability of Second-Order Impulsive Nonlocal Cauchy Problem Via Measure of Noncompactness
In this article, we consider a class of second-order impulsive evolution differential equations with nonlocal conditions. This article deals with the nonlocal controllability for a class of second-order evolution impulsive control systems. We prove some sufficient conditions for controllability usin...
Saved in:
| Published in: | Mediterranean journal of mathematics Vol. 14; no. 1; pp. 1 - 23 |
|---|---|
| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Cham
Springer International Publishing
01-02-2017
Springer Nature B.V |
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | In this article, we consider a class of second-order impulsive evolution differential equations with nonlocal conditions. This article deals with the nonlocal controllability for a class of second-order evolution impulsive control systems. We prove some sufficient conditions for controllability using the measure of noncompactness and Mönch fixed point theorem. Very particularly we do not assume that the evolution system generates a compact semigroup. Finally, an example is given to represent the obtained theory. |
|---|---|
| AbstractList | In this article, we consider a class of second-order impulsive evolution differential equations with nonlocal conditions. This article deals with the nonlocal controllability for a class of second-order evolution impulsive control systems. We prove some sufficient conditions for controllability using the measure of noncompactness and Mönch fixed point theorem. Very particularly we do not assume that the evolution system generates a compact semigroup. Finally, an example is given to represent the obtained theory. |
| ArticleNumber | 3 |
| Author | Vijayakumar, V. Poongodi, R. Murugesu, R. Dhanalakshmi, S. |
| Author_xml | – sequence: 1 givenname: V. surname: Vijayakumar fullname: Vijayakumar, V. email: vijaysarovel@gmail.com organization: Department of Mathematics, Info Institute of Engineering – sequence: 2 givenname: R. surname: Murugesu fullname: Murugesu, R. organization: Department of Mathematics, SRMV College of Arts and Science – sequence: 3 givenname: R. surname: Poongodi fullname: Poongodi, R. organization: Department of Mathematics, Kongunadu Arts and Science College – sequence: 4 givenname: S. surname: Dhanalakshmi fullname: Dhanalakshmi, S. organization: Department of Mathematics, Kongunadu Arts and Science College |
| BookMark | eNp1kE1LxDAQhoOs4O7qD_AW8BxNmjZNj1L8WFhdwY9rSNupdkmTmrTC_nuzrIgX5zJzeJ6Z4V2gmXUWEDpn9JJRml8FGqsglAlCJeNEHKE5E4KSLM3S2e-cihO0CGFLaVIwnsyRKp0dvTNGV53pxh12LX6G2tmGbHwDHq_6YTKh-wL86KxxtTa41FP9scNP3lUGevzWafwAOkwe9nbEatcPuh4thHCKjlttApz99CV6vb15Ke_JenO3Kq_XpOZMjETwBjjXsuZQtElVaN5mafyQArSpZBWAzmhWQSPTXCYJCC1pU1EusrzQLUi-RBeHvYN3nxOEUW3d5G08qZiUNM-iSCPFDlTtXQgeWjX4rtd-pxhV-xzVIUcVc1T7HJWITnJwQmTtO_g_m_-VvgEBXnf_ |
| CitedBy_id | crossref_primary_10_1093_imamci_dnx048 crossref_primary_10_1002_num_22560 crossref_primary_10_1155_2020_7592818 crossref_primary_10_1093_imamci_dnaa001 crossref_primary_10_36535_0233_6723_2021_189_3_130 crossref_primary_10_1080_07362994_2020_1798251 crossref_primary_10_1016_j_aej_2023_03_031 crossref_primary_10_1080_23307706_2018_1495584 crossref_primary_10_1080_01630563_2017_1414060 crossref_primary_10_1186_s13662_021_03620_5 crossref_primary_10_1186_s13662_021_03624_1 crossref_primary_10_1080_01630563_2023_2180645 crossref_primary_10_1002_mma_5427 crossref_primary_10_1186_s13662_021_03639_8 crossref_primary_10_1007_s12346_020_00345_w crossref_primary_10_1007_s40435_018_0425_z crossref_primary_10_3390_sym13040566 crossref_primary_10_1007_s00025_020_01293_2 crossref_primary_10_1007_s12346_022_00725_4 crossref_primary_10_1016_j_chaos_2020_110310 crossref_primary_10_1007_s12215_023_00865_9 crossref_primary_10_1016_j_cam_2022_114492 crossref_primary_10_1016_j_jksus_2022_102295 crossref_primary_10_1002_mma_9484 crossref_primary_10_1080_00036811_2023_2196293 crossref_primary_10_1002_mma_8444 crossref_primary_10_1080_00207179_2017_1346300 crossref_primary_10_1080_23307706_2022_2150330 crossref_primary_10_31801_cfsuasmas_489730 crossref_primary_10_1002_mma_8828 crossref_primary_10_1016_j_jksus_2023_102925 crossref_primary_10_3390_sym14081655 crossref_primary_10_11948_20190089 |
| Cites_doi | 10.1016/0362-546X(80)90010-3 10.1155/S1048953397000336 10.1023/A:1026447232030 10.1016/j.na.2008.03.062 10.1007/s10957-012-9999-3 10.1080/01630563.2013.814067 10.1007/978-3-662-00547-7 10.1142/0906 10.1016/j.na.2011.02.010 10.1007/BF01902205 10.1016/j.nahs.2013.08.001 10.1016/j.cnsns.2012.02.029 10.1515/9783110870893 10.1142/2058 10.4064/ap88-2-5 10.1016/j.na.2011.06.054 10.1016/j.camwa.2011.06.034 10.3934/eect.2015.4.507 10.1016/0022-247X(91)90164-U 10.1016/S0362-546X(97)00693-7 10.1093/imamci/dnw049 10.1016/j.amc.2014.01.029 10.4064/sm-44-1-93-105 10.1016/j.amc.2011.01.107 10.1016/j.amc.2014.09.084 10.1080/23307706.2015.1061462 10.1016/j.amc.2015.11.034 10.1155/9789775945501 10.1155/2013/812501 10.1016/j.amc.2014.08.080 10.1007/s10957-011-9860-0 10.1007/s00009-016-0695-7 10.1155/2013/502839 |
| ContentType | Journal Article |
| Copyright | Springer International Publishing 2016 Copyright Springer Science & Business Media 2017 |
| Copyright_xml | – notice: Springer International Publishing 2016 – notice: Copyright Springer Science & Business Media 2017 |
| DBID | AAYXX CITATION |
| DOI | 10.1007/s00009-016-0813-6 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1660-5454 |
| EndPage | 23 |
| ExternalDocumentID | 10_1007_s00009_016_0813_6 |
| GroupedDBID | -5D -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 123 1N0 203 29M 2J2 2JN 2JY 2KG 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5VS 67Z 6NX 8TC 95- 95. 95~ 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABBXA ABDZT ABECU ABFGW ABFTV ABHQN ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFS ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACSNA ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFGCZ AFLOW AFNRJ AFQWF AFWTZ AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BAPOH BDATZ BGNMA CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS HF~ HG5 HG6 HLICF HMJXF HQYDN HRMNR HVGLF HZ~ IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV LAS LLZTM M4Y MA- MBV N2Q NB0 NPVJJ NQJWS NU0 O9- O93 O9J OAM P2P P9R PF0 PT4 QOS R89 R9I RIG ROL RPX RSV S16 S1Z S27 S3B SAP SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TSK TSV TUC U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z83 ZMTXR ~A9 AACDK AAJBT AASML AAYXX AAYZH ABAKF ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU CITATION H13 |
| ID | FETCH-LOGICAL-c316t-63de33a8c3e9f2b9a3f549130eef481beea505bed847822e6a80db036579afe83 |
| IEDL.DBID | AEJHL |
| ISSN | 1660-5446 |
| IngestDate | Fri Nov 22 08:14:50 EST 2024 Fri Nov 22 00:02:54 EST 2024 Sat Dec 16 12:05:53 EST 2023 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | second-order abstract Cauchy problem 47H10 34K09 measure of noncompactness 93B05 26A33 34B10 impulsive systems Controllabiliy nonlocal conditions |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c316t-63de33a8c3e9f2b9a3f549130eef481beea505bed847822e6a80db036579afe83 |
| PQID | 1880758470 |
| PQPubID | 2044134 |
| PageCount | 23 |
| ParticipantIDs | proquest_journals_1880758470 crossref_primary_10_1007_s00009_016_0813_6 springer_journals_10_1007_s00009_016_0813_6 |
| PublicationCentury | 2000 |
| PublicationDate | 2017-02-01 |
| PublicationDateYYYYMMDD | 2017-02-01 |
| PublicationDate_xml | – month: 02 year: 2017 text: 2017-02-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Cham |
| PublicationPlace_xml | – name: Cham – name: Heidelberg |
| PublicationTitle | Mediterranean journal of mathematics |
| PublicationTitleAbbrev | Mediterr. J. Math |
| PublicationYear | 2017 |
| Publisher | Springer International Publishing Springer Nature B.V |
| Publisher_xml | – name: Springer International Publishing – name: Springer Nature B.V |
| References | Kumar, Sukavanam (CR25) 2014; 35 Ji, Li, Wang (CR20) 2011; 217 Ji, Li (CR21) 2011; 62 Kozak (CR24) 1995; 32 Bainov, Simeonov (CR4) 1993 Laksmikantham, Bainov, Simenov (CR26) 1989 Vijayakumar, Ravichandran, Murugesu, Trujillo (CR42) 2014; 247 Bainov, Simeonov (CR5) 1989 Byszewski, Akca (CR13) 1997; 10 Deimling (CR15) 1985 Vijayakumar, Selvakumar, Murugesu (CR41) 2014; 232 Wang, Zhou (CR46) 2012; 17 Benchohra, Ntouyas (CR8) 2000; 107 Das, Pandey, Sukavanam (CR14) 2014; 2014 Travis, Webb (CR37) 1978; 32 Ravichandran, Baleanu (CR33) 2013; 2013 Zhou, Vijayakumar, Murugesu (CR47) 2015; 4 Kisyński (CR23) 1972; 49 CR32 Sivasankaran, Mallika Arjunan, Vijayakumar (CR35) 2011; 74 CR31 Vijayakumar, Ravichandran, Murugesu (CR40) 2013; 20 CR30 Mönch (CR28) 1980; 4 Bainov, Covachev (CR6) 1994 Byszewski (CR11) 1996; 5 Arthi, Balachandran (CR1) 2014; 11 Byszewski, Akca (CR12) 1998; 34 CR3 Vijayakumar, Ravichandran, Murugesu (CR43) 2013; 20 Arthi, Park, Jung (CR2) 2014; 248 Kamenskii, Obukhovskii, Zecca (CR22) 2001 CR29 CR9 Serizawa, Watanabe (CR34) 1986; 12 Vijayakumar, Sivasankaran, Mallika Arjunan (CR39) 2011; 18 Byszewski (CR10) 1991; 162 Henríquez, Pierri, Rolnik (CR18) 2016; 274 CR44 Henríquez (CR17) 2011; 74 Vijayakumar, Sivasankaran, Mallika Arjunan (CR38) 2012; 19 Wang, Fan, Zhou (CR45) 2012; 154 Hernández, Henríquez, McKibben (CR16) 2009; 70 Travis, Webb (CR36) 1977; 3 Banas, Goebel (CR7) 1980 Henríquez, Hernández (CR19) 2006; 88 Machado, Ravichandran, Rivero, Trujillo (CR27) 2013; 2013 L Byszewski (813_CR11) 1996; 5 M Kamenskii (813_CR22) 2001 813_CR44 J Wang (813_CR45) 2012; 154 H Mönch (813_CR28) 1980; 4 J Banas (813_CR7) 1980 S Ji (813_CR20) 2011; 217 S Ji (813_CR21) 2011; 62 M Kozak (813_CR24) 1995; 32 V Vijayakumar (813_CR40) 2013; 20 813_CR3 S Sivasankaran (813_CR35) 2011; 74 C Ravichandran (813_CR33) 2013; 2013 M Benchohra (813_CR8) 2000; 107 J Kisyński (813_CR23) 1972; 49 H Serizawa (813_CR34) 1986; 12 813_CR29 G Arthi (813_CR2) 2014; 248 L Byszewski (813_CR10) 1991; 162 DD Bainov (813_CR5) 1989 L Byszewski (813_CR12) 1998; 34 DD Bainov (813_CR4) 1993 DD Bainov (813_CR6) 1994 HR Henríquez (813_CR19) 2006; 88 G Arthi (813_CR1) 2014; 11 E Hernández (813_CR16) 2009; 70 HR Henríquez (813_CR17) 2011; 74 J Wang (813_CR46) 2012; 17 L Byszewski (813_CR13) 1997; 10 V Laksmikantham (813_CR26) 1989 S Das (813_CR14) 2014; 2014 813_CR30 V Vijayakumar (813_CR39) 2011; 18 813_CR31 V Vijayakumar (813_CR42) 2014; 247 813_CR32 V Vijayakumar (813_CR41) 2014; 232 JA Machado (813_CR27) 2013; 2013 813_CR9 S Kumar (813_CR25) 2014; 35 Y Zhou (813_CR47) 2015; 4 CC Travis (813_CR36) 1977; 3 V Vijayakumar (813_CR38) 2012; 19 HR Henríquez (813_CR18) 2016; 274 CC Travis (813_CR37) 1978; 32 V Vijayakumar (813_CR43) 2013; 20 K Deimling (813_CR15) 1985 |
| References_xml | – volume: 4 start-page: 985 year: 1980 end-page: 999 ident: CR28 article-title: Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces publication-title: Nonlinear Anal. doi: 10.1016/0362-546X(80)90010-3 contributor: fullname: Mönch – volume: 10 start-page: 265 issue: 3 year: 1997 end-page: 271 ident: CR13 article-title: On a mild solution of a semilinear functional-differential evolution nonlocal problem publication-title: J. Appl. Math. Stoch. Anal. doi: 10.1155/S1048953397000336 contributor: fullname: Akca – volume: 107 start-page: 559 year: 2000 end-page: 571 ident: CR8 article-title: Controllability of second-order differential inclusions in Banach spaces with nonlocal conditions publication-title: J. Optim. Theory Appl. doi: 10.1023/A:1026447232030 contributor: fullname: Ntouyas – volume: 3 start-page: 555 issue: 4 year: 1977 end-page: 567 ident: CR36 article-title: Compactness, regularity, and uniform continuity properties of strongly continuous cosine families publication-title: Houst. J. Math. contributor: fullname: Webb – year: 1989 ident: CR5 publication-title: Systems with Impulsive Effect contributor: fullname: Simeonov – volume: 247 start-page: 152 year: 2014 end-page: 161 ident: CR42 article-title: Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators publication-title: Appl. Math. Comput. contributor: fullname: Trujillo – volume: 70 start-page: 2736 year: 2009 end-page: 2751 ident: CR16 article-title: Existence results for abstract impulsive second-order neutral functional differential equations publication-title: Nonlinear Anal. doi: 10.1016/j.na.2008.03.062 contributor: fullname: McKibben – volume: 154 start-page: 292 year: 2012 end-page: 302 ident: CR45 article-title: Nonlocal controllability of semilinear dynamic systems with fractional derivative in Banach spaces publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-012-9999-3 contributor: fullname: Zhou – volume: 35 start-page: 423 issue: 4 year: 2014 end-page: 431 ident: CR25 article-title: Controllability of second-order systems with nonlocal conditions in Banach Spaces publication-title: Numer. Funct. Anal. Optim. doi: 10.1080/01630563.2013.814067 contributor: fullname: Sukavanam – ident: CR30 – year: 1980 ident: CR7 publication-title: Measure of Noncompactness in Banach Spaces contributor: fullname: Goebel – volume: 49 start-page: 93 year: 1972 end-page: 105 ident: CR23 article-title: On cosine operator functions and one parameter group of operators publication-title: Stud. Math. contributor: fullname: Kisyński – volume: 2013 start-page: 1 issue: 291 year: 2013 end-page: 13 ident: CR33 article-title: On the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces publication-title: Adv. Diff. Equ. contributor: fullname: Baleanu – year: 1985 ident: CR15 publication-title: Nonlinear Functional Analysis doi: 10.1007/978-3-662-00547-7 contributor: fullname: Deimling – year: 1989 ident: CR26 publication-title: Theory of Impulsive Differential Equations, Series in Modern Applied Mathematics, 6 doi: 10.1142/0906 contributor: fullname: Simenov – ident: CR29 – volume: 74 start-page: 3333 year: 2011 end-page: 3352 ident: CR17 article-title: Existence of solutions of non-autonomous second order functional differential equations with infinite delay publication-title: Nonlinear Anal. TMA doi: 10.1016/j.na.2011.02.010 contributor: fullname: Henríquez – volume: 18 start-page: 747 year: 2011 end-page: 766 ident: CR39 article-title: Existence of global solutions for second order impulsive abstract functional integrodifferential equations publication-title: Dyn. Contin. Discrete Impuls. Syst. contributor: fullname: Mallika Arjunan – volume: 2014 start-page: 1 year: 2014 end-page: 14 ident: CR14 article-title: Approximate controllability of a second order neutral differential equation with state dependent delay publication-title: Differ. Equ. Dyn. Syst. contributor: fullname: Sukavanam – volume: 32 start-page: 76 year: 1978 end-page: 96 ident: CR37 article-title: Cosine families and abstract nonlinear second order differential equations publication-title: Acta. Math. Acad. Sci. Hungar. doi: 10.1007/BF01902205 contributor: fullname: Webb – volume: 11 start-page: 139 year: 2014 end-page: 153 ident: CR1 article-title: Controllability of second-order impulsive evolution systems with infinite delay publication-title: Nonlinear Anal. Hybrid Syst. doi: 10.1016/j.nahs.2013.08.001 contributor: fullname: Balachandran – volume: 232 start-page: 303 year: 2014 end-page: 312 ident: CR41 article-title: Controllability for a class of fractional neutral integro-differential equations with unbounded delay publication-title: Appl. Math. Comput. contributor: fullname: Murugesu – ident: CR44 – volume: 248 start-page: 328 year: 2014 end-page: 341 ident: CR2 article-title: Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay publication-title: Appl. Math. Comput. contributor: fullname: Jung – volume: 17 start-page: 4346 year: 2012 end-page: 4355 ident: CR46 article-title: Complete controllability of fractional evolution systems publication-title: Commun. Nonlinear. Sci. Numer. Simul. doi: 10.1016/j.cnsns.2012.02.029 contributor: fullname: Zhou – volume: 274 start-page: 590 year: 2016 end-page: 603 ident: CR18 article-title: Pseudo -asymptotically periodic solutions of second-order abstract Cauchy problems publication-title: Appl. Math. Comput. contributor: fullname: Rolnik – volume: 12 start-page: 579 year: 1986 end-page: 586 ident: CR34 article-title: Time-dependent perturbation for cosine families in Banach spaces publication-title: Houst. J. Math. contributor: fullname: Watanabe – year: 2001 ident: CR22 publication-title: Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces doi: 10.1515/9783110870893 contributor: fullname: Zecca – volume: 32 start-page: 275 year: 1995 end-page: 289 ident: CR24 article-title: A fundamental solution of a second order differential equation in a Banach space publication-title: Univ. Iagellon. Acta Math. contributor: fullname: Kozak – ident: CR3 – year: 1994 ident: CR6 publication-title: Impulsive Differential Equations with a Small Parameter doi: 10.1142/2058 contributor: fullname: Covachev – volume: 88 start-page: 141 issue: 2 year: 2006 end-page: 159 ident: CR19 article-title: Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions publication-title: Ann. Polon. Math. doi: 10.4064/ap88-2-5 contributor: fullname: Hernández – volume: 74 start-page: 6747 issue: 17 year: 2011 end-page: 6757 ident: CR35 article-title: Existence of global solutions for second order impulsive abstract partial differential equations publication-title: Nonlinear Anal. TMA doi: 10.1016/j.na.2011.06.054 contributor: fullname: Vijayakumar – volume: 62 start-page: 1908 year: 2011 end-page: 1915 ident: CR21 article-title: Existence results for impulsive differential inclusions with nonlocal conditions publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2011.06.034 contributor: fullname: Li – volume: 20 start-page: 511 issue: 4 year: 2013 end-page: 530 ident: CR40 article-title: Approximate controllability for a class of fractional neutral integro-differential inclusions with state-dependent delay publication-title: Nonlinear Stud. contributor: fullname: Murugesu – ident: CR31 – volume: 4 start-page: 507 issue: 4 year: 2015 end-page: 524 ident: CR47 article-title: Controllability for fractional evolution inclusions without compactness publication-title: Evol. Equ. Control Theory doi: 10.3934/eect.2015.4.507 contributor: fullname: Murugesu – year: 1993 ident: CR4 publication-title: Impulsive Differential Equations: Periodic Solutions and Applications contributor: fullname: Simeonov – ident: CR9 – volume: 162 start-page: 494 issue: 2 year: 1991 end-page: 505 ident: CR10 article-title: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(91)90164-U contributor: fullname: Byszewski – volume: 20 start-page: 485 issue: 4 year: 2013 end-page: 502 ident: CR43 article-title: Nonlocal controllability of mixed Volterra-Fredholm type fractional semilinear integro-differential inclusions in Banach spaces publication-title: Dyn. Contin. Discrete Impuls. Syst. contributor: fullname: Murugesu – ident: CR32 – volume: 34 start-page: 65 issue: 1 year: 1998 end-page: 72 ident: CR12 article-title: Existence of solutions of a semilinear functional differential evolution nonlocal problem publication-title: Nonlinear Anal. doi: 10.1016/S0362-546X(97)00693-7 contributor: fullname: Akca – volume: 5 start-page: 595 issue: 4 year: 1996 end-page: 605 ident: CR11 article-title: Existence, uniqueness and asymptotic stability of solutions of abstract nonlocal Cauchy problems publication-title: Dyn. Syst. Appl. contributor: fullname: Byszewski – volume: 217 start-page: 6981 year: 2011 end-page: 6989 ident: CR20 article-title: Controllability of impulsive differential systems with nonlocal conditions publication-title: Appl. Math. Comput. contributor: fullname: Wang – volume: 2013 start-page: 1 issue: 66 year: 2013 end-page: 16 ident: CR27 article-title: Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions publication-title: Fixed Point Theory Appl. contributor: fullname: Trujillo – volume: 19 start-page: 327 issue: 2 year: 2012 end-page: 343 ident: CR38 article-title: Existence of solutions for second order impulsive partial neutral functional integrodifferential equations with infinite delay publication-title: Nonlinear Stud. contributor: fullname: Mallika Arjunan – volume-title: Measure of Noncompactness in Banach Spaces year: 1980 ident: 813_CR7 contributor: fullname: J Banas – ident: 813_CR44 doi: 10.1093/imamci/dnw049 – volume: 17 start-page: 4346 year: 2012 ident: 813_CR46 publication-title: Commun. Nonlinear. Sci. Numer. Simul. doi: 10.1016/j.cnsns.2012.02.029 contributor: fullname: J Wang – volume: 18 start-page: 747 year: 2011 ident: 813_CR39 publication-title: Dyn. Contin. Discrete Impuls. Syst. contributor: fullname: V Vijayakumar – volume-title: Nonlinear Functional Analysis year: 1985 ident: 813_CR15 doi: 10.1007/978-3-662-00547-7 contributor: fullname: K Deimling – volume: 70 start-page: 2736 year: 2009 ident: 813_CR16 publication-title: Nonlinear Anal. doi: 10.1016/j.na.2008.03.062 contributor: fullname: E Hernández – volume: 32 start-page: 76 year: 1978 ident: 813_CR37 publication-title: Acta. Math. Acad. Sci. Hungar. doi: 10.1007/BF01902205 contributor: fullname: CC Travis – volume: 232 start-page: 303 year: 2014 ident: 813_CR41 publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2014.01.029 contributor: fullname: V Vijayakumar – volume: 20 start-page: 485 issue: 4 year: 2013 ident: 813_CR43 publication-title: Dyn. Contin. Discrete Impuls. Syst. contributor: fullname: V Vijayakumar – volume: 49 start-page: 93 year: 1972 ident: 813_CR23 publication-title: Stud. Math. doi: 10.4064/sm-44-1-93-105 contributor: fullname: J Kisyński – volume: 2013 start-page: 1 issue: 291 year: 2013 ident: 813_CR33 publication-title: Adv. Diff. Equ. contributor: fullname: C Ravichandran – volume: 217 start-page: 6981 year: 2011 ident: 813_CR20 publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2011.01.107 contributor: fullname: S Ji – volume: 32 start-page: 275 year: 1995 ident: 813_CR24 publication-title: Univ. Iagellon. Acta Math. contributor: fullname: M Kozak – volume: 88 start-page: 141 issue: 2 year: 2006 ident: 813_CR19 publication-title: Ann. Polon. Math. doi: 10.4064/ap88-2-5 contributor: fullname: HR Henríquez – volume: 248 start-page: 328 year: 2014 ident: 813_CR2 publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2014.09.084 contributor: fullname: G Arthi – volume: 34 start-page: 65 issue: 1 year: 1998 ident: 813_CR12 publication-title: Nonlinear Anal. doi: 10.1016/S0362-546X(97)00693-7 contributor: fullname: L Byszewski – volume: 4 start-page: 985 year: 1980 ident: 813_CR28 publication-title: Nonlinear Anal. doi: 10.1016/0362-546X(80)90010-3 contributor: fullname: H Mönch – volume-title: Systems with Impulsive Effect year: 1989 ident: 813_CR5 contributor: fullname: DD Bainov – volume: 20 start-page: 511 issue: 4 year: 2013 ident: 813_CR40 publication-title: Nonlinear Stud. contributor: fullname: V Vijayakumar – volume: 12 start-page: 579 year: 1986 ident: 813_CR34 publication-title: Houst. J. Math. contributor: fullname: H Serizawa – volume: 74 start-page: 6747 issue: 17 year: 2011 ident: 813_CR35 publication-title: Nonlinear Anal. TMA doi: 10.1016/j.na.2011.06.054 contributor: fullname: S Sivasankaran – ident: 813_CR3 doi: 10.1080/23307706.2015.1061462 – volume: 11 start-page: 139 year: 2014 ident: 813_CR1 publication-title: Nonlinear Anal. Hybrid Syst. doi: 10.1016/j.nahs.2013.08.001 contributor: fullname: G Arthi – volume: 154 start-page: 292 year: 2012 ident: 813_CR45 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-012-9999-3 contributor: fullname: J Wang – volume: 274 start-page: 590 year: 2016 ident: 813_CR18 publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2015.11.034 contributor: fullname: HR Henríquez – ident: 813_CR9 doi: 10.1155/9789775945501 – ident: 813_CR32 doi: 10.1155/2013/812501 – volume-title: Impulsive Differential Equations with a Small Parameter year: 1994 ident: 813_CR6 doi: 10.1142/2058 contributor: fullname: DD Bainov – volume: 247 start-page: 152 year: 2014 ident: 813_CR42 publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2014.08.080 contributor: fullname: V Vijayakumar – volume: 4 start-page: 507 issue: 4 year: 2015 ident: 813_CR47 publication-title: Evol. Equ. Control Theory doi: 10.3934/eect.2015.4.507 contributor: fullname: Y Zhou – volume: 62 start-page: 1908 year: 2011 ident: 813_CR21 publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2011.06.034 contributor: fullname: S Ji – volume-title: Theory of Impulsive Differential Equations, Series in Modern Applied Mathematics, 6 year: 1989 ident: 813_CR26 doi: 10.1142/0906 contributor: fullname: V Laksmikantham – volume: 3 start-page: 555 issue: 4 year: 1977 ident: 813_CR36 publication-title: Houst. J. Math. contributor: fullname: CC Travis – ident: 813_CR31 doi: 10.1007/s10957-011-9860-0 – volume: 107 start-page: 559 year: 2000 ident: 813_CR8 publication-title: J. Optim. Theory Appl. doi: 10.1023/A:1026447232030 contributor: fullname: M Benchohra – ident: 813_CR30 doi: 10.1007/s00009-016-0695-7 – volume: 35 start-page: 423 issue: 4 year: 2014 ident: 813_CR25 publication-title: Numer. Funct. Anal. Optim. doi: 10.1080/01630563.2013.814067 contributor: fullname: S Kumar – volume-title: Impulsive Differential Equations: Periodic Solutions and Applications year: 1993 ident: 813_CR4 contributor: fullname: DD Bainov – volume: 5 start-page: 595 issue: 4 year: 1996 ident: 813_CR11 publication-title: Dyn. Syst. Appl. contributor: fullname: L Byszewski – volume: 2013 start-page: 1 issue: 66 year: 2013 ident: 813_CR27 publication-title: Fixed Point Theory Appl. contributor: fullname: JA Machado – volume: 162 start-page: 494 issue: 2 year: 1991 ident: 813_CR10 publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(91)90164-U contributor: fullname: L Byszewski – volume: 74 start-page: 3333 year: 2011 ident: 813_CR17 publication-title: Nonlinear Anal. TMA doi: 10.1016/j.na.2011.02.010 contributor: fullname: HR Henríquez – volume: 2014 start-page: 1 year: 2014 ident: 813_CR14 publication-title: Differ. Equ. Dyn. Syst. contributor: fullname: S Das – volume: 10 start-page: 265 issue: 3 year: 1997 ident: 813_CR13 publication-title: J. Appl. Math. Stoch. Anal. doi: 10.1155/S1048953397000336 contributor: fullname: L Byszewski – volume-title: Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces year: 2001 ident: 813_CR22 doi: 10.1515/9783110870893 contributor: fullname: M Kamenskii – ident: 813_CR29 doi: 10.1155/2013/502839 – volume: 19 start-page: 327 issue: 2 year: 2012 ident: 813_CR38 publication-title: Nonlinear Stud. contributor: fullname: V Vijayakumar |
| SSID | ssj0029132 |
| Score | 2.294984 |
| Snippet | In this article, we consider a class of second-order impulsive evolution differential equations with nonlocal conditions. This article deals with the nonlocal... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Publisher |
| StartPage | 1 |
| SubjectTerms | Controllability Mathematics Mathematics and Statistics |
| Title | Controllability of Second-Order Impulsive Nonlocal Cauchy Problem Via Measure of Noncompactness |
| URI | https://link.springer.com/article/10.1007/s00009-016-0813-6 https://www.proquest.com/docview/1880758470 |
| Volume | 14 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELagXWDgjSgU5IEJZNTUieOMVWlpES1ILYgtcmxHIEpa0Wbov-fsPHgIBpgyxLais-Pv-3znO4ROPa6puUJCgBwI4voNTjh1POIrUwGOuZFjhWJv5A8f-WXHpMlplkcXyctF4ZG0G3V5182yGVC-IIC5QwlbRVWAHg_WdrXVue7dlDIrcGxZMoexBvFA7RS-zJ8G-YpGHxTzm1fUgk138z-fuYU2cmqJW9la2EYrOtlB64MyL-t8F4XtLDJ9kmXnXuJpjEdGEitya3Jw4v7rLJ2YiHY8nCYW53BbpPJpie-yyjP44VngQXawaHpDMxvGLhdmz9xD993OuN0jeYkFIqnDFoRRpSkVXFIdxM0oEDQGwQi4pnXsAqPVWgBFirQCEAMqoZngDRUB6nl-IGLN6T6qJNNEHyAcKcDbmCkYSMIUS3Pl1-UKCKmjJOOyhs4KU4ezLJNGWOZMtlYLTbSZsVrIaqheTEaY_1Tz0KSO841bt1FD54X1P73-bbDDP7U-QmtNA902MruOKou3VB-j1blKT_KVZp798VX3HUsJzls |
| link.rule.ids | 315,782,786,27933,27934,41073,42142,48344,48347,48357,49649,49652,49662,52153 |
| linkProvider | Springer Nature |
| linkToHtml | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3JTsMwEB1BewAO7IhCAR84gSw1deI4x6qLWtEWpBbUniIndgRSSSvaHPr32M7CIjjAOY4VjZf3JjPzBuDaYZLoEhKsyAHHtltjmBHLwa7QHeCoHVjGUeyO3OGEtdpaJofktTAm2z0PSZqbuih2M3RGub7KA2YWwXQTylrsvF6CcmMynbYKP8uzTF8yi9IadpS7kwczf5rkKxx9cMxvYVGDNp29f33nPuxm5BI10t1wABsyPoSdQaHMujwCv5nmps9Sfe41mkdopJ1ige-1CifqvS6Smc5pR8N5bJAONXkSPq_RQ9p7Bj29cDRIfy3qt9Uwk8gervSteQyPnfa42cVZkwUcEouuMCVCEsJZSKQX1QOPk0i5jArZpIxsxWml5IokBVIoGFNkQlLOaiJQuOe4Ho8kIydQiuexPAUUCIW4ERVqolAtcqiLfm0mFCW1REhZWIGb3Nb-ItXS8AvVZGM1X-ebaav5tALVfDX87FgtfS0e5-rAbq0Ct7n1Pz3-bbKzP42-gq3ueND3-73h3Tls1zWQmzztKpRWb4m8gM2lSC6zbfcOh0bQ_w |
| linkToPdf | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1dT4MwFL1xW2L0wW_jdGoffNI0gxVKeTLLPtyim0s2jW8EaIkmky0OHvbvbQvMj-iD8ZnSkLZwzuHeey7Ahc0EUSUkWJIDH1uOwTAjpo0drjrAUSswtVDsjZ3hE2t3lE3OdVELo7Pdi5BkVtOgXJripD7nUX1V-KapjZTBUg0zk2Bagor6K2aVodLsT266K83lmrpHmUmpgW0pfYrA5k-TfIWmD775LUSqkae7_e9n3oGtnHSiZnZKdmFNxHuwOVg5ti72wWtlOevTzLd7iWYRGiuxzPG9cudE_dd5OlW57mg4izUCopafhs9LNMp60qDHFx8Nsl-O6m45TCe4h4n6mh7AQ7czafVw3nwBh8SkCaaEC0J8FhLhRo3A9UkkpaREPCEiS3JdIXxJngLBJbxJkiGozwweSDy0HdePBCOHUI5nsTgCFHCJxBHlcqJQbn6oioEtxiVVNXlIWViFy2LdvXnmseGt3JT1qnkqD02tmkerUCt2xstft4WnTOUcFfA1qnBV7MSny79Ndvyn0eewPmp3vbv-8PYENhoK33X6dg3KyVsqTqG04OlZfgLfAcf-2ZY |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Controllability+of+Second-Order+Impulsive+Nonlocal+Cauchy+Problem+Via+Measure+of+Noncompactness&rft.jtitle=Mediterranean+journal+of+mathematics&rft.au=Vijayakumar%2C+V.&rft.au=Murugesu%2C+R.&rft.au=Poongodi%2C+R.&rft.au=Dhanalakshmi%2C+S.&rft.date=2017-02-01&rft.pub=Springer+International+Publishing&rft.issn=1660-5446&rft.eissn=1660-5454&rft.volume=14&rft.issue=1&rft_id=info:doi/10.1007%2Fs00009-016-0813-6&rft.externalDocID=10_1007_s00009_016_0813_6 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1660-5446&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1660-5446&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1660-5446&client=summon |