@article{f5970137-d25b-425b-b639-c7b2ea70f5ea, author = {Ludwik Byszewski, Teresa Winiarska}, title = {On nonlocal evolution problem for the equation of the first order}, journal = {Czasopismo Techniczne}, volume = {2013}, number = {Nauki Podstawowe Zeszyt 1 NP (4) 2013}, year = {2013}, issn = {0011-4561}, pages = {19-26},keywords = {evolution Cauchy problem; existence and uniqueness of the solutions; nonlocal conditions}, abstract = {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].}, doi = {10.4467/2353737XCT.14.029.2612}, url = {https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/on-nonlocal-evolution-problem-for-the-equation-of-the-first-order} }