0011-4561 EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DIRICHLET NONLOCAL PROBLEM WITH NONLOCAL INITIAL CONDITION EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DIRICHLET NONLOCAL PROBLEM WITH NONLOCAL INITIAL CONDITION Byszewski Ludwik author Winiarska Teresa author Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology Correspondence to: Ludwik Byszewski lbyszews@pk.edu.pl Correspondence to: Teresa Winiarska 09 02 2015 Nauki Podstawowe Zeszyt 2 NP (16) 2014 2014 3 7 Copyright © 2015 2015 <p style="text-align: justify;"> The aim of this paper is to prove the existence and uniqueness of solutions of the Dirichlet nonlocal problem with nonlocal initial condition. The considerations are extensions of results by E. Andreu-Vaillo, J. M. Mazón, J. D. Rossi and J. J. Toledo-Melero [1].</p>