Search Results - "Valentin Keyantuo"

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  1. 1

    Fractional integration of imaginary order in vector-valued Hölder spaces by El-Mennaoui, Omar, Keyantuo, Valentin, Sani, Ahmed

    Published in Archiv der Mathematik (01-05-2023)
    “…We prove that the Riemann–Liouville semigroup of fractional integration in the little Hölder space lip 0 α ( [ 0 , 1 ] , X ) admits a boundary value on the…”
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  2. 2

    Lp-Maximal Regularity for a Class of Degenerate Integro-differential Equations with Infinite Delay in Banach Spaces by Aparicio, Rafael, Keyantuo, Valentin

    “…Using the theory of operator-valued Fourier multipliers, we establish characterizations for well-posedness of a large class of degenerate integro-differential…”
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  3. 3

    Well-posedness of degenerate integro-differential equations in function spaces by Rafael Aparicio, Valentin Keyantuo

    “…We use operator-valued Fourier multipliers to obtain characterizations for well-posedness of a large class of degenerate integro-differential equations of…”
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  4. 4

    Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type by Keyantuo, Valentin, Lizama, Carlos, Rueda, Silvia, Warma, Mahamadi

    Published in Advances in difference equations (27-06-2019)
    “…We prove the existence and uniqueness of a weighted pseudo asymptotically mild solution to the following class of abstract semilinear difference equations: u (…”
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  5. 5

    Approximate and Mean Approximate Controllability Properties for Hilfer Time-Fractional Differential Equations by Aragones, Ernest, Keyantuo, Valentin, Warma, Mahamadi

    Published in Vietnam journal of mathematics (01-09-2021)
    “…We study the approximate and mean approximate controllability properties of fractional partial differential equations associated with the so-called Hilfer type…”
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  6. 6

    Existence, regularity and representation of solutions of time fractional wave equations by Valentin Keyantuo, Carlos Lizama, Mahamadi Warma

    “…We study the solvability of the fractional order inhomogeneous Cauchy problem $$ \mathbb{D}_t^\alpha u(t)=Au(t)+f(t), \quad t>0,\;1<\alpha\le 2, $$ where A is…”
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  7. 7

    Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations by Keyantuo, Valentin, Lizama, Carlos, Warma, Mahamadi

    Published in Abstract and Applied Analysis (01-01-2013)
    “…We investigate mild solutions of the fractional order nonhomogeneous Cauchy problem Dtαu(t)=Au(t)+f(t),  t>0, where 0<α<1. When A is the generator of a…”
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  8. 8
  9. 9

    Besov maximal regularity for a class of degenerate integro‐differential equations with infinite delay in Banach spaces by Aparicio, Rafael, Keyantuo, Valentin

    “…The theory of operator‐valued Fourier multipliers is used to obtain characterizations for well‐posedness of a large class of degenerate integro‐differential…”
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  10. 10

    Maximal Regularity for a Class of Degenerate Integro-differential Equations with Infinite Delay in Banach Spaces by Aparicio, Rafael, Keyantuo, Valentin

    “…Using the theory of operator-valued Fourier multipliers, we establish characterizations for well-posedness of a large class of degenerate integro-differential…”
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  11. 11

    Cyclic sequences of periodic sums in βN by Keyantuo, Valentin, Zelenyuk, Yevhen, Zelenyuk, Yuliya

    Published in Topology and its applications (01-01-2024)
    “…Let m≥2 and n≥2 and define ν:ω→{0,…,m−1} by ν(k)≡k(modm). We show that there is a sequence p0,…,pm−1 in βN such that all sums ∑j=ikpν(j), where i∈{0,…,m−1} and…”
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  12. 12

    A Characterization of Uniform Well Posedness for Degenerate Second-Order Abstract Differential Equations by Aparicio, Rafael, Keyantuo, Valentin, Lizama, Carlos

    Published in Resultate der Mathematik (01-10-2023)
    “…We completely characterize the uniform well-posedness of the Dirichlet boundary value problem for degenerate second order abstract differential equations in…”
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  13. 13

    The Wave Equation in Lp-Spaces by Keyantuo, Valentin, Warma, Mahamadi

    Published in Semigroup forum (01-09-2005)
    “…In the first part of the paper, Gaussian estimates are used to study $L^p$-summability of the solution of the wave equation in $L^p(\Omega)$ associated with a…”
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  14. 14

    Lattice Dynamical Systems Associated with a Fractional Laplacian by Keyantuo, Valentin, Lizama, Carlos, Warma, Mahamadi

    “…We derive optimal well-posedness results and explicit representations of solutions in terms of special functions for the linearized version of the equation for…”
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  15. 15

    Right ideal decompositions of G by Keyantuo, Valentin, Zelenyuk, Yevhen

    Published in Topology and its applications (01-09-2016)
    “…Let G be an infinite discrete group, let βG be the Stone–Čech compactification of G, and let G⁎=βG∖G. We show that if G can be embedded algebraically in a…”
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  16. 16

    Entire regularizations of strongly continuous groups and products of analytic generators by Cioranescu, Ioana, Keyantuo, Valentin

    “…Using entire regularizations of C_0-groups, we give a characterization of their analytic generators which we apply to the study of products of such generators…”
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  17. 17

    Fractional Gaussian estimates and holomorphy of semigroups by Keyantuo, Valentin, Seoanes, Fabian, Warma, Mahamadi

    Published in Archiv der Mathematik (01-12-2019)
    “…Let Ω ⊂ R N be an arbitrary open set, 0 < s < 1 and denote by ( e - t ( - Δ ) R N s ) t ≥ 0 the semigroup on L 2 ( R N ) generated by the fractional Laplace…”
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  18. 18

    A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications by Keyantuo, Valentin, Lizama, Carlos

    Published in Mathematische Nachrichten (01-03-2011)
    “…We study the fractional differential equation (*) Dαu(t) + BDβu(t) + Au(t) = f(t),  0 ⩽ t ⩽ 2π (0 ⩽ β < α ⩽ 2) in periodic Lebesgue spaces Lp(0,  2π; X) where…”
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  19. 19

    Well-posedness results for a class of semi-linear super-diffusive equations 24 by Alvarez, Edgardo, Gal, Ciprian G, Keyantuo, Valentin, Warma, Mahamadi

    Published in Nonlinear analysis (01-04-2019)
    “…In this paper we investigate the following fractional order in time Cauchy problem ... The fractional in time derivative is taken in the classical Caputo…”
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  20. 20

    Discrete subsets and convergent sequences in topological groups by Keyantuo, Valentin, Zelenyuk, Yevhen

    Published in Topology and its applications (15-08-2015)
    “…We show that (1) assuming there is no rapid ultrafilter, every countable nondiscrete maximally almost periodic topological group contains a discrete nonclosed…”
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