Solution of a semilinear differential-functional equation with infinite delay in a Banach space
type: Item
instance of: scholarly article
title: Solution of a semilinear differential-functional equation with infinite delay in a Banach space
zbMATH Open document ID: 0934.34069
author: Sghir Abdelhaq
published in: Acta Mathematica Vietnamica
publication date: 2000-04-10T00:00:00Z
review text: From author's abstract: ``This paper is concerned with the existence of solutions to the initial value problem for a semilinear functional-differential equation with infinite delay in a Banach space \[ x'(t)= Lx_t+ f(t, x_t),\quad t\in[0,a] (a>0),\quad x(t)= \varphi(t),\quad t\in]-\infty, 0]. \] The result is based on the Leray-Schauder alternative and a priori bounds on solutions''.
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K07
zbMATH DE Number: 1347402
zbMATH Keywords: existence
zbMATH Keywords: solutions
zbMATH Keywords: initial value problem
zbMATH Keywords: semilinear functional-differential equation
reviewed by: Waldyr Muniz Oliva
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1347402