The paper is devoted to the problem of Bohr-Neugebauer for the equations (1) and (2), in a Hilbert space H, i.e., providing conditions under which a bounded solution is necessarily almost periodic. The proofs of the main results are based on the solution of some differential inequalities, valid on the entire real axis. © 1984, Elsevier Science & Technology. All rights reserved
International audienceThe relationship between Carathéodory almost-periodic (a.p.) solutions and the...
Abstract. The Bohr-type and the Bochner-type definitions for almost periodic functions are exam-ined...
AbstractIn this paper, we prove the almost periodicity of bounded solutions and a so-called Massera ...
There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Ni...
Abstract. We prove almost periodicity of solutions of the equation x′′(t)=Ax(t) when the linear oper...
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In this thesis, we will study almost periodic differential equations. The motivation to study such a...
International audienceWe give sufficient conditions for the existence of almost periodic solutions o...
We prove almost periodicity of solutions of the equation x″(t)=Ax(t) when the linear operator A sati...
For the differential equation ()=()+(), ≥0 on a Hilbert space , we find the necessary and sufficient...
AbstractIn this paper we present some quite simple results concerning almost-periodic solutions of a...
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Existence of almost-periodic solutions to quasi-linear evolution inclusions under a Stepanov almost-...
We consider a mild solution u of a well-posed, inhomogeneous, Cauchy problem, u(t)=A(t)u(t)+f(t), on...
Abstract. This note is concerned with the almost periodicity, periodicity, and quasi periodicityof b...
International audienceThe relationship between Carathéodory almost-periodic (a.p.) solutions and the...
Abstract. The Bohr-type and the Bochner-type definitions for almost periodic functions are exam-ined...
AbstractIn this paper, we prove the almost periodicity of bounded solutions and a so-called Massera ...
There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Ni...
Abstract. We prove almost periodicity of solutions of the equation x′′(t)=Ax(t) when the linear oper...
AbstractLet B be a bounded linear operator of a Banach space X into itself. If the differential oper...
In this thesis, we will study almost periodic differential equations. The motivation to study such a...
International audienceWe give sufficient conditions for the existence of almost periodic solutions o...
We prove almost periodicity of solutions of the equation x″(t)=Ax(t) when the linear operator A sati...
For the differential equation ()=()+(), ≥0 on a Hilbert space , we find the necessary and sufficient...
AbstractIn this paper we present some quite simple results concerning almost-periodic solutions of a...
AbstractLet L be an arbitrary linear partial differential operator and let f be an almost periodic f...
Existence of almost-periodic solutions to quasi-linear evolution inclusions under a Stepanov almost-...
We consider a mild solution u of a well-posed, inhomogeneous, Cauchy problem, u(t)=A(t)u(t)+f(t), on...
Abstract. This note is concerned with the almost periodicity, periodicity, and quasi periodicityof b...
International audienceThe relationship between Carathéodory almost-periodic (a.p.) solutions and the...
Abstract. The Bohr-type and the Bochner-type definitions for almost periodic functions are exam-ined...
AbstractIn this paper, we prove the almost periodicity of bounded solutions and a so-called Massera ...
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