Add to ORKG"A semilinear differential equation of the type ＄￥dot{u}=Au+f(t, u)＄ , ＄u(a)=z＄ ＄(^{*})＄ is considered in locally convex space ＄X＄, for the existence and stability of its mild solutions. ＄A＄ is assumed to be the generator of an equicontinuous ＄C_{0-}＄ semigroup of linear operators and the function ＄f(￥ell, u)＄ satisfies certain condition in terms of the measure of noncompactness. Existence and stability results are obtained via fixed point theorem. Examples are given to illustrate an abstract theory developed here.
In this paper the existence of local and global mild solution of a semi-linear functional differenti...
In this paper we prove the existence of a mild solution for a semilinear evolution differential inc...
AbstractLet X be a reflexive Banach space, A:D(A)⊂X→X the infinitesimal generator of a compact C0-se...
AbstractThe behavior of strongly continuous one-parameter semigroups of operators on locally convex ...
summary:The aim of this paper is to give an existence theorem for a semilinear equation of evolution...
Abstract. Let X be a real Banach space, let A: D(A) ⊂ X → X be the generator of a (C0)-contraction ...
This paper is concerned with the existence of mild and strong solutions on the interval for some ne...
The main goal of the present paper is to study the local solvability of semilnear partial differenti...
Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild ...
This paper is devoted to the investigation of the existence and uniqueness of a suitably defined wea...
AbstractLet X be a reflexive and separable Banach space, A:D(A)⊂X→X the generator of a C0-semigroup ...
AbstractLet (E,F) be a locally convex space. We denote the bounded elements of E by Eb:={x∈E:∥x∥F=su...
AbstractSufficient conditions on the existence of mild solutions for the following semilinear nonloc...
In this article, we study the existence of piecewise-continuous mild solutions for the initial val...
Abstract. In this paper we prove the existence of a mild solution for a semi-linear evolution differ...
In this paper the existence of local and global mild solution of a semi-linear functional differenti...
In this paper we prove the existence of a mild solution for a semilinear evolution differential inc...
AbstractLet X be a reflexive Banach space, A:D(A)⊂X→X the infinitesimal generator of a compact C0-se...
AbstractThe behavior of strongly continuous one-parameter semigroups of operators on locally convex ...
summary:The aim of this paper is to give an existence theorem for a semilinear equation of evolution...
Abstract. Let X be a real Banach space, let A: D(A) ⊂ X → X be the generator of a (C0)-contraction ...
This paper is concerned with the existence of mild and strong solutions on the interval for some ne...
The main goal of the present paper is to study the local solvability of semilnear partial differenti...
Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild ...
This paper is devoted to the investigation of the existence and uniqueness of a suitably defined wea...
AbstractLet X be a reflexive and separable Banach space, A:D(A)⊂X→X the generator of a C0-semigroup ...
AbstractLet (E,F) be a locally convex space. We denote the bounded elements of E by Eb:={x∈E:∥x∥F=su...
AbstractSufficient conditions on the existence of mild solutions for the following semilinear nonloc...
In this article, we study the existence of piecewise-continuous mild solutions for the initial val...
Abstract. In this paper we prove the existence of a mild solution for a semi-linear evolution differ...
In this paper the existence of local and global mild solution of a semi-linear functional differenti...
In this paper we prove the existence of a mild solution for a semilinear evolution differential inc...
AbstractLet X be a reflexive Banach space, A:D(A)⊂X→X the infinitesimal generator of a compact C0-se...