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SUCCESSIVE ITERATION AND POSITIVE SOLUTIONS FOR A p-LAPLACIAN MULTIPOINT BOUNDARY VALUE PROBLEM

Part of: Boundary value problems

Published online by Cambridge University Press:  01 April 2008

BO SUN ,
XIANGKUI ZHAO  and
WEIGAO GE
BO SUN*
Affiliation:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China (email: [email protected])
XIANGKUI ZHAO
Affiliation:
Applied Science School, University of Science and Technology Beijing, Beijing 100083, PR China
WEIGAO GE
Affiliation:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper, we study the existence of positive solutions for the one-dimensional p-Laplacian differential equation, subject to the multipoint boundary condition by applying a monotone iterative method.

Keywords

successive iteration; positive solutions; multipoint boundary value problems; p-Laplacian

MSC classification

Secondary: 34B10: Nonlocal and multipoint boundary value problems 34B18: Positive solutions of nonlinear boundary value problems
Type
Research Article
Information
The ANZIAM Journal , Volume 49 , Issue 4 , April 2008 , pp. 551 - 560
Copyright
Copyright © Australian Mathematical Society 2008

References

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