In this paper we investigate properties of a linear continuous operator K in the space of Bohr almost periodic functions P(X) from tl~e additive group of reals R into any complex Banach space X. The operator has the property that the condition g '+Ag=f, g, f~P(X) is equivalent o the conditio
We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equa...
International audienceIn this paper we prove the existence and uniqueness of $C^{(n)}$-almost period...
summary:We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann ...
We prove almost periodicity and almost automorphy of bounded solutions of linear differential equati...
In this paper we establish that a strongly continuous group of bounded linear operators on a Banach ...
In this study we offer proofs for two basic results in the theory of almost periodic functions; the ...
AbstractLet B be a bounded linear operator of a Banach space X into itself. If the differential oper...
In a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfie...
AbstractThe Bohl–Bohr–Amerio–Kadets theorem states that the indefinite integral y=Pφ of an almost pe...
Abstract. We prove almost periodicity of solutions of the equation x′′(t)=Ax(t) when the linear oper...
The almost periodic functions form a natural example of a non-separable normed space. As such, it ha...
We prove almost periodicity of solutions of the equation x″(t)=Ax(t) when the linear operator A sati...
AbstractLet L be an arbitrary linear partial differential operator and let f be an almost periodic f...
International audienceThe relationship between Carathéodory almost-periodic (a.p.) solutions and the...
International audienceWe study the superposition operators (also called Nemytskii operators) between...
We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equa...
International audienceIn this paper we prove the existence and uniqueness of $C^{(n)}$-almost period...
summary:We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann ...
We prove almost periodicity and almost automorphy of bounded solutions of linear differential equati...
In this paper we establish that a strongly continuous group of bounded linear operators on a Banach ...
In this study we offer proofs for two basic results in the theory of almost periodic functions; the ...
AbstractLet B be a bounded linear operator of a Banach space X into itself. If the differential oper...
In a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfie...
AbstractThe Bohl–Bohr–Amerio–Kadets theorem states that the indefinite integral y=Pφ of an almost pe...
Abstract. We prove almost periodicity of solutions of the equation x′′(t)=Ax(t) when the linear oper...
The almost periodic functions form a natural example of a non-separable normed space. As such, it ha...
We prove almost periodicity of solutions of the equation x″(t)=Ax(t) when the linear operator A sati...
AbstractLet L be an arbitrary linear partial differential operator and let f be an almost periodic f...
International audienceThe relationship between Carathéodory almost-periodic (a.p.) solutions and the...
International audienceWe study the superposition operators (also called Nemytskii operators) between...
We establish the existence and uniqueness of almost periodic solutions of a class of semilinear equa...
International audienceIn this paper we prove the existence and uniqueness of $C^{(n)}$-almost period...
summary:We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann ...