TY - JOUR
TI - INTEGRO-DIFFERENTIAL EVOLUTION NONLOCAL PROBLEM
	FOR THE FIRST ORDER EQUATION (II)
AU - Byszewski, Ludwik
AU - Winiarska, Teresa
TI - INTEGRO-DIFFERENTIAL EVOLUTION NONLOCAL PROBLEM
	FOR THE FIRST ORDER EQUATION (II)
AB - 
	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.
VL - 2014
IS - Nauki Podstawowe Zeszyt 2 NP (16) 2014
PY - 2015
SN - 0011-4561
C1 - 2353-737X
SP - 11
EP - 14
DO - 10.4467/2353737XCT.14.295.3383
UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/integro-differential-evolution-nonlocal-problem-for-the-first-order-equation-ii
KW - nonlocal problem
KW - integro-differential evolution problem
KW - abstract Cauchy problem