Address:
Laboratory of Applied Mathematics, Faculty of Exact Sciences, University of Bejaia, 06000 Bejaia, Algeria
Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria
E-mail:
amirouche.mouhous@univ-bejaia.dz
svetlingeorgiev1@gmail.com
Abstract: In this work, we are interested in the existence of solutions for a class of first order boundary value problems (BVPs for short). We give new sufficient conditions under which the considered problems have at least one solution, one nonnegative solution and two non trivial nonnegative solutions, respectively. To prove our main results we propose a new approach based upon recent theoretical results. The results complement some recent ones.
AMSclassification: primary 47H10; secondary 34B15, 34B18.
Keywords: first order BVPs, nonnegative solution, fixed point index, cone, expansive mapping, sum of operators.
DOI: 10.5817/AM2022-3-141