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

Published online by Cambridge University Press:  01 April 2008

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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2008

References

[1]Feng, W., “On an m-point boundary value problem”, Nonlinear Anal. 30 (1997) 53695374.Google Scholar
[2]Feng, W. and Webb, J., “Solvability of m-point boundary value problem with nonlinear growth”, J. Math. Anal. Appl. 212 (1997) 467480.CrossRefGoogle Scholar
[3]Gupta, C., “A generalized multipoint boundary value problem for second order ordinary differential equations”, Appl. Math. Comput. 89 (1998) 133146.Google Scholar
[4]II’in, V. and Moiseev, E., “Nonlocal boundary value problem of the second kind for a Sturm–Liouville operator”, Differ. Equ. 23 (1987) 979987.Google Scholar
[5]Ma, R., “Existence of solutions of nonlinear m-point boundary value problem”, J. Math. Anal. Appl. 256 (2001) 556567.Google Scholar
[6]Ma, R., “Multiple positive solutions for nonlinear m-point boundary value problems”, Appl. Math. Comput. 148 (2004) 249262.CrossRefGoogle Scholar
[7]Ma, D., Du, Z. and Ge, W., “Existence and iteration of monotone positive solutions for multipoint boundary value problems with p-Laplacian operator”, Comput. Math. Appl. 50 (2005) 729739.Google Scholar
[8]Wang, Y., “Existence of multiple positive solutions for one-dimensional p-Laplacian”, J. Math. Anal. Appl. 315 (2006) 144153.CrossRefGoogle Scholar