EXISTENCE OF SOLUTIONS FOR A CLASS OF FIRST ORDER BOUNDARY VALUE PROBLEMS

被引：4

作者：

Mouhous, Amirouche ^{[1
]}

Georgiev, Svetlin Georgiev ^{[2
]}

Mebarki, Karima ^{[1
]}

机构：

[1] Univ Bejaia, Fac Exact Sci, Lab Appl Math, Bejaia 06000, Algeria

[2] Univ Sofia, Fac Math & Informat, Dept Differential Equat, Sofia, Bulgaria

来源：

ARCHIVUM MATHEMATICUM | 2022年 / 58卷 / 03期

关键词：

first order BVPs; nonnegative solution; fixed point index; cone; expansive mapping; sum of operators;

D O I：

10.5817/AM2022-3-141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：141 / 158

页数：18

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