@article{7aa5b1b0-768d-45ec-b63d-8c1c80c60c17, author = {Ludwik Byszewski, Teresa Winiarska}, title = {ON NONLOCAL EVOLUTION FUNCTIONAL-DIFFERENTIAL PROBLEM IN A BANACH SPACE}, journal = {Czasopismo Techniczne}, volume = {2014}, number = {Nauki Podstawowe Zeszyt 2 NP (16) 2014}, year = {2015}, issn = {0011-4561}, pages = {1-1},keywords = {evolution problem; functional-differential problem; nonlocal problem}, abstract = {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].}, doi = {10.4467/2353737XCT.14.296.3384}, url = {https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/on-nonlocal-evolution-functional-differential-problem-in-a-banach-space} }