TY - JOUR
TI - ON NONLOCAL EVOLUTION FUNCTIONAL-DIFFERENTIAL PROBLEM
	IN A BANACH SPACE
AU - Byszewski, Ludwik
AU - Winiarska, Teresa
TI - ON NONLOCAL EVOLUTION FUNCTIONAL-DIFFERENTIAL PROBLEM
	IN A BANACH SPACE
AB - 
	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].
VL - 2014
IS - Nauki Podstawowe Zeszyt 2 NP (16) 2014
PY - 2015
SN - 0011-4561
C1 - 2353-737X
SP - 1
EP - 1
DO - 10.4467/2353737XCT.14.296.3384
UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/on-nonlocal-evolution-functional-differential-problem-in-a-banach-space
KW - evolution problem
KW - functional-differential problem
KW - nonlocal problem