Geodesic
Existence of solutions for a class of first order boundary value problems
Archivum mathematicum, Tome 58 (2022) no. 3, pp. 141-158 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2022-3-141
Classification : 34B15, 34B18, 47H10
Keywords: first order BVPs; nonnegative solution; fixed point index; cone; expansive mapping; sum of operators 
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Mouhous, Amirouche; Georgiev, Svetlin Georgiev; Mebarki, Karima. Existence of solutions for a class of first order boundary value problems. Archivum mathematicum, Tome 58 (2022) no. 3, pp. 141-158. doi: 10.5817/AM2022-3-141

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