Search Results - "Valentin Keyantuo"
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Fractional integration of imaginary order in vector-valued Hölder spaces
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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Lp-Maximal Regularity for a Class of Degenerate Integro-differential Equations with Infinite Delay in Banach Spaces
Published in The Journal of fourier analysis and applications (2020)“…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
Well-posedness of degenerate integro-differential equations in function spaces
Published in Electronic journal of differential equations (20-03-2018)“…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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Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type
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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Approximate and Mean Approximate Controllability Properties for Hilfer Time-Fractional Differential Equations
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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Existence, regularity and representation of solutions of time fractional wave equations
Published in Electronic journal of differential equations (18-09-2017)“…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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Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time-Fractional Differential Equations
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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Besov maximal regularity for a class of degenerate integro‐differential equations with infinite delay in Banach spaces
Published in Mathematical methods in the applied sciences (01-08-2020)“…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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Maximal Regularity for a Class of Degenerate Integro-differential Equations with Infinite Delay in Banach Spaces
Published in The Journal of fourier analysis and applications (01-04-2020)“…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
Cyclic sequences of periodic sums in βN
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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A Characterization of Uniform Well Posedness for Degenerate Second-Order Abstract Differential Equations
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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The Wave Equation in Lp-Spaces
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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Lattice Dynamical Systems Associated with a Fractional Laplacian
Published in Numerical functional analysis and optimization (18-08-2019)“…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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Right ideal decompositions of G
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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Entire regularizations of strongly continuous groups and products of analytic generators
Published in Proceedings of the American Mathematical Society (01-12-2000)“…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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Fractional Gaussian estimates and holomorphy of semigroups
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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A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications
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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Well-posedness results for a class of semi-linear super-diffusive equations 24
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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Discrete subsets and convergent sequences in topological groups
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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