The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions

We discuss the uniqueness of the solution to a class of differential systems with coupled integral boundary conditions under a Lipschitz condition. Our main method is the linear operator theory and the solvability for a system of inequalities. Finally, an example is given to demonstrate the validity...

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Main Authors: Shuman Meng, Yujun Cui
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/9601868
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author Shuman Meng
Yujun Cui
author_facet Shuman Meng
Yujun Cui
author_sort Shuman Meng
collection DOAJ
description We discuss the uniqueness of the solution to a class of differential systems with coupled integral boundary conditions under a Lipschitz condition. Our main method is the linear operator theory and the solvability for a system of inequalities. Finally, an example is given to demonstrate the validity of our main results.
format Article
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institution OA Journals
issn 1026-0226
1607-887X
language English
publishDate 2018-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-02b75de2f2f0410a8e490c41a0d9cd412025-08-20T02:03:27ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/96018689601868The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary ConditionsShuman Meng0Yujun Cui1Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao 266590, ChinaDepartment of Applied Mathematics, Shandong University of Science and Technology, Qingdao 266590, ChinaWe discuss the uniqueness of the solution to a class of differential systems with coupled integral boundary conditions under a Lipschitz condition. Our main method is the linear operator theory and the solvability for a system of inequalities. Finally, an example is given to demonstrate the validity of our main results.http://dx.doi.org/10.1155/2018/9601868
spellingShingle Shuman Meng
Yujun Cui
The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions
Discrete Dynamics in Nature and Society
title The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions
title_full The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions
title_fullStr The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions
title_full_unstemmed The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions
title_short The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions
title_sort uniqueness theorem of the solution for a class of differential systems with coupled integral boundary conditions
url http://dx.doi.org/10.1155/2018/9601868
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AT shumanmeng uniquenesstheoremofthesolutionforaclassofdifferentialsystemswithcoupledintegralboundaryconditions
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