TY - JOUR
TI - On nonlocal evolution problem for the equation of the first order
AU - Byszewski, Ludwik
AU - Winiarska, Teresa
TI - On nonlocal evolution problem for the equation of the first order
AB - 
	The aim of the paper is to prove theorems about the existence and uniqueness of mild
	and classical solutions of a nonlocal semilinear functional-differential evolution Cauchy
	problem. The method of semigroups, the Banach fixed-point theorem and theorems (see [2])
	about the existence and uniqueness of the classical solutions of the first-order differential
	evolution problems in a not necessarily reflexive Banach space are used to prove the existence
	and uniqueness of the solutions of the problems considered. The results obtained are based
	on publications [1–6].
VL - 2013
IS - Nauki Podstawowe Zeszyt 1 NP (4) 2013
PY - 2013
SN - 0011-4561
C1 - 2353-737X
SP - 19
EP - 26
DO - 10.4467/2353737XCT.14.029.2612
UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/on-nonlocal-evolution-problem-for-the-equation-of-the-first-order
KW - evolution Cauchy problem
KW - existence and uniqueness of the solutions
KW - nonlocal conditions