EXISTENCE AND UNIQUENESS OF THE SOLUTIONS TO IMPULSIVE NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

被引：0

作者：

Mardanov, Misir J. ^{[1
]}

Sharifov, Yagub A. ^{[2
]}

Zeynalli, Farah M. ^{[3
]}

机构：

[1] Natl Acad Sci Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

[2] Baku State Univ, 23 Z Khalilov Str, Baku, Azerbaijan

[3] Ganja State Univ, Ganja, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2019年 / 45卷 / 02期

关键词：

impulsive differential equations; nonlocal boundary conditions; existence and uniqueness of solutions; continuous dependence of solutions; DIFFERENTIAL-EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper a system of ordinary impulsive integro-differential equations with nonlocal conditions is studied. At first the boundary value problem is reduced to the equivalent integral equation. Then, using the theorem on fixed points, the condition on the existence and uniqueness of the solution of the boundary value problem is obtained. Continuous dependence of the solutions on the right hand side of boundary conditions is also set up.

引用

页码：222 / 233

页数：12

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