Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions

被引：15

作者：

Mardanov, Misir J. ^{[1
]}

Sharifov, Yagub A. ^{[1
,2
]}

Gasimov, Yusif S. ^{[1
,3
,4
]}

Cattani, Carlo ^{[3
,5
]}

机构：

[1] ANAS, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

[2] Baku State Univ, Dept Math Methods Appl Anal, AZ-1148 Baku, Azerbaijan

[3] Azerbaijan Univ, Dept Math & Informat, AZ-1007 Baku, Azerbaijan

[4] Baku State Univ, Inst Phys Problems, AZ-1148 Baku, Azerbaijan

[5] Tuscia Univ, DEIM, Engn Sch, I-01100 Viterbo, Italy

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 01期

关键词：

existence and uniqueness; ODE; multipoint and integral boundary conditions; Banach contraction map; Green function; Schaefer fixed point; IMPULSIVE SYSTEMS; EXISTENCE; UNIQUENESS; 3-POINT; EQUATIONS;

D O I：

10.3390/fractalfract5010015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers boundary value problem (BVP) for nonlinear first-order differential problems with multipoint and integral boundary conditions. A suitable Green function was constructed for the first time in order to reduce this problem into a corresponding integral equation. So that by using the Banach contraction mapping principle (BCMP) and Schaefer's fixed point theorem (SFPT) on the integral equation, we can show that the solution of the multipoint problem exists and it is unique.

引用

页码：1 / 13

页数：13

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