Existence and Uniqueness of Solutions for Nonlinear Impulsive Differential Equations with Three-Point and Integral Boundary Conditions

被引：0

作者：

Mardanov, M. J. ^{[1
]}

Sharifov, Y. A. ^{[2
]}

Sardarova, R. A. ^{[3
]}

Aliyev, H. N. ^{[4
]}

机构：

[1] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan

[2] Baku State Univ, Baku, Azerbaijan

[3] Azerbaijan State Univ Econ, UNEC, Baku, Azerbaijan

[4] Baku Engn Univ, Baku, Azerbaijan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2020年 / 10卷 / 01期

关键词：

three-point and integral boundary conditions; existence; uniqueness; fixed point; impulsive differential equations; SYSTEMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to investigate the solution of the system of nonlinear impulsive differential equations with three-point and integral boundary conditions. The Green function is constructed and the original problem is reduced to the equivalent integral equations. Sufficient conditions are found for the existence and uniqueness of solutions to the boundary value problems for the system of first order nonlinear impulsive ordinary differential equations with three-point and integral boundary conditions. Banach's fixed point theorem is used to prove the uniqueness and Schaefer's fixed point theorem is used to prove the existence of a solution of the considered problem.

引用

页码：110 / 126

页数：17

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