%0 Journal Article
%T INTEGRO-DIFFERENTIAL EVOLUTION NONLOCAL PROBLEM
	FOR THE FIRST ORDER EQUATION (II)
%A Byszewski, Ludwik
%A Winiarska, Teresa
%J Czasopismo Techniczne
%V 2014
%R 10.4467/2353737XCT.14.295.3383
%N Nauki Podstawowe Zeszyt 2 NP (16) 2014
%P 11-14
%K nonlocal problem, integro-differential evolution problem, abstract Cauchy problem
%@ 0011-4561
%D 2015
%U https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/integro-differential-evolution-nonlocal-problem-for-the-first-order-equation-ii
%X 
	The aim of this paper is to give two theorems on the existence and uniqueness of mild and classical solutions of a nonlocal semilinear integro-differential evolution Cauchy problem for the first order equation. The method of semigroups, the Banach fixed-point theorem and the Bochenek theorem are applied to prove the existence and uniqueness of the solutions of the considered problem.