Malmquist-type theorems on some complex differential-difference equations

This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous equations given by Zhang, Huang, and others....

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Bibliographic Details
Published in:	Open mathematics (Warsaw, Poland) Vol. 20; no. 1; pp. 809 - 819
Main Authors:	Xu, Hong Yan, Li, Hong, Yu, Meiying
Format:	Journal Article
Language:	English
Published:	Warsaw De Gruyter 29-08-2022 De Gruyter Poland
Subjects:	30D35 39A13 39B72 Difference equations Differential equations differential-difference equation existence Malmquist-type Mathematical analysis Theorems
Online Access:	Get full text
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Summary:	This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous equations given by Zhang, Huang, and others. Moreover, some examples are provided to demonstrate why some restrictive conditions in some of our theorems cannot be removed.
ISSN:	2391-5455 2391-5455
DOI:	10.1515/math-2022-0475