A STUDY OF ONE APPROACH TO SOLUTION OF THE FIRST-ORDER NON-LINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MULTIPOINT BOUNDARY CONDITIONS

被引：0

作者：

Mardanov, Misir j. ^{[1
,2
]}

Sharifov, Yagub a. ^{[1
,3
]}

机构：

[1] Minist Sci & Educ Azerbaijan, Inst Math & Mech, B Vahabzade Str 9, AZ-1148 Baku, Azerbaijan

[2] Baku State Univ, Z Khalilov Str 23, AZ-1148 Baku, Azerbaijan

[3] Azerbaijan Tech Univ, H Javid Ave 25, AZ-1073 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2024年 / 50卷 / 01期

关键词：

multipoint boundary conditions; impulse; existence and uniqueness of solutions; fixed point theorems; first order differential equation; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; UNIQUENESS; 3-POINT;

D O I：

10.30546/2409-4994.2024.50.1.39

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the existence and uniqueness of solution for a nonlinear first order ordinary differential system with multipoint boundary conditions and impulse are given. The proof is obtained by defining a suitable Green function, which converts the differential problem into an equivalent integral equation so that the existence and uniqueness can be easily studied on this equivalent problem by using the Banach contraction principle. Existence results are shown by Schaefer's and Krasnoselskii's fixed point theorems. An example is provided to see the applicability of the obtained results.

引用

页码：39 / 52

页数：14

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