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

共 50 条

[1] Existence of solutions to first-order periodic boundary value problems
Tisdell, Christopher C.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1325 - 1332
[2] EXISTENCE OF SOLUTIONS TO THE FIRST-ORDER NONLINEAR BOUNDARY VALUE PROBLEMS
Ding, Wei
Xing, Yepeng
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1577 - 1589
[3] Existence of Multipal Solutions for a Class of Second-order Boundary Value Problems
Huang, Yumei
Zhu, Zheli
Qiu, Tingting
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 817 - 820
[4] Existence of solutions for a class of third-order nonlinear boundary value problems
Du, ZJ
Ge, WG
Lin, XJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) : 104 - 112
[5] Existence of Solutions for Boundary Value Problems for First Order Impulsive Difference Equations
Bouchal, Lydia
Mebarki, Karima
Georgiev, Svetlin Georgiev
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
[6] Existence and uniqueness of solutions to first-order multipoint boundary value problems
Liu, B
APPLIED MATHEMATICS LETTERS, 2004, 17 (11) : 1307 - 1316
[7] Existence of solutions to first-order impulsive periodic boundary value problems
Zhao, Aimin
Bai, Zhenguo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1970 - 1977
[8] Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems
Xiao-ning Lin School of Business
ActaMathematicaeApplicataeSinica, 2007, (02) : 289 - 302
[9] Existence of single and multiple solutions for first order periodic boundary value problems
Lin, Xiao-ning
Wang, Hong
Jiang, Da-qing
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2007, 23 (02): : 289 - 302
[10] Existence of Single and Multiple Solutions for First Order Periodic Boundary Value Problems
Xiao-ning Lin
Hong Wang
Da-qing Jiang
Acta Mathematicae Applicatae Sinica, English Series, 2007, 23 : 289 - 302

← 1 2 3 4 5 →