%0 Journal Article
%T ON NONLOCAL EVOLUTION FUNCTIONAL-DIFFERENTIAL PROBLEM
	IN A BANACH SPACE
%A Byszewski, Ludwik
%A Winiarska, Teresa
%J Czasopismo Techniczne
%V 2014
%R 10.4467/2353737XCT.14.296.3384
%N Nauki Podstawowe Zeszyt 2 NP (16) 2014
%P 1-1
%K evolution problem, functional-differential problem, nonlocal problem
%@ 0011-4561
%D 2015
%U https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/on-nonlocal-evolution-functional-differential-problem-in-a-banach-space
%X 
	The aim of this paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a nonlocal semilinear functional-differential evolution Cauchy problem in a Banach space. The method of semigroups, the Banach fixed-point theorem and the Bochenek theorem (see [3]) about the existence and uniqueness of the classical solution of the first order differential evolution problem in a not necessarily reflexive Banach space are used to prove the existence and uniqueness of the solutions of the considered problem. The results are based on publications [1 — 8].