@article{72e0bae1-05a8-42af-a1b2-533b5be28a91, author = {Ludwik Byszewski, Teresa Winiarska}, title = {INTEGRO-DIFFERENTIAL EVOLUTION NONLOCAL PROBLEM FOR THE FIRST ORDER EQUATION (II)}, journal = {Technical Transactions}, volume = {2014}, number = {Nauki Podstawowe Issue 2 NP (16) 2014}, year = {2015}, issn = {0011-4561}, pages = {11-14},keywords = {nonlocal problem; integro-differential evolution problem; abstract Cauchy problem}, abstract = {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.}, doi = {10.4467/2353737XCT.14.295.3383}, url = {https://ejournals.eu/en/journal/czasopismo-techniczne/article/integro-differential-evolution-nonlocal-problem-for-the-first-order-equation-ii} }