Existence and uniqueness of the solutions of the nonlinear impulse differential equations with nonlocal boundary conditions

被引：7

作者：

Gasimov, Y. S. ^{[1
,2
,3
]}

Jafari, H. ^{[4
,5
,6
]}

Mardanov, M. J. ^{[1
,2
]}

Sardarova, R. A. ^{[7
]}

Sharifov, Y. A. ^{[1
,8
]}

机构：

[1] ANAS, Inst Math & Mech, Baku, Azerbaijan

[2] Azerbaijan Univ, Baku, Azerbaijan

[3] Baku State Univ, Inst Phys Problems, Baku, Azerbaijan

[4] Univ Mazandaran, Dept Appl Math, Babolsar, Iran

[5] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 110122, Taiwan

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

[8] Baku State Univ, Inst Math & Mech, ANAS, Baku, Azerbaijan

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 09期

关键词：

Existence and uniqueness; nonlinear impulse differential equations; nonlocal boundary conditions;

D O I：

10.2989/16073606.2021.1945702

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the system of ordinary impulse differential equations with nonlocal conditions is investigated. First, the boundary value problem is reduced to the equivalent integral equation. Further, using the fixed point theorem, conditions for the existence and uniqueness of the solution of the boundary value problem are obtained. The continuous dependence of the solutions on the right-hand side of the boundary conditions is also established.

引用

页码：1399 / 1412

页数：14

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