The Existence of Solutions and Positive Solution of a First-Order Differential System With Initial and Multi-Point Boundary Conditions

被引：0

作者：

Nguyen Thanh Long ^{[1
,2
]}

Le Minh Tri ^{[1
,2
]}

Le Thi Phuong Ngoc ^{[3
]}

机构：

[1] Univ Sci, Dept Math & Comp Sci, 227 Nguyen Van Cu Str,Dist 5, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[3] Univ Khanh Hoa, 01 Nguyen Chanh Str, Nha Trang City, Vietnam

来源：

FILOMAT | 2021年 / 35卷 / 05期

关键词：

Multi-point boundary value problems; Positive solutions; The Guo-Krasnosellskii's fixed point theorem; 3-POINT; MULTIPLICITY; UNIQUENESS; EQUATIONS;

D O I：

10.2298/FIL2105629L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear differential system with initial and multi - point boundary conditions. The existence of solutions is proved by using the Banach contraction principle or the Krasnoselskii's fixed point theorem. Furthermore, the existence of positive solutions is also obtained by applying the Guo-Krasnoselskii's fixed point theorem in cones. As a consequence of the Guo-Krasnosellskii's fixed point theorem, the multiplicity of positive solutions is established.

引用

页码：1629 / 1647

页数：19

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