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THREE NONNEGATIVE SOLUTIONS FOR SECOND-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH A THREE-POINT BOUNDARY VALUE PROBLEM

Part of: Boundary value problems

Published online by Cambridge University Press:  01 January 2008

JIANLI LI  and
JIANHUA SHEN
JIANLI LI*
Affiliation:
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China (email: ljianli@sina.com)
JIANHUA SHEN
Affiliation:
Department of Mathematics, College of Huaihua, Huaihua, Hunan 418008, China
*
✉For correspondence; e-mail: ljianli@sina.com
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Abstract

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In this paper, by using the Leggett–Williams fixed point theorem, we prove the existence of three nonnegative solutions to second-order nonlinear impulsive differential equations with a three-point boundary value problem.

Keywords

differential equationboundary value problemnonnegative solutionfixed point theorem

MSC classification

Secondary: 34B10: Nonlocal and multipoint boundary value problems 34B37: Boundary value problems with impulses

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 49 , Issue 3 , January 2008 , pp. 337 - 346
Copyright
Copyright © Australian Mathematical Society 2008

References

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