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

  • BO SUN (a1), XIANGKUI ZHAO (a2) and WEIGAO GE (a3)
Abstract

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.

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Corresponding author
For correspondence; e-mail: sunbo19830328@163.com
References
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[1]Feng, W., “On an m-point boundary value problem”, Nonlinear Anal. 30 (1997) 53695374.
[2]Feng, W. and Webb, J., “Solvability of m-point boundary value problem with nonlinear growth”, J. Math. Anal. Appl. 212 (1997) 467480.
[3]Gupta, C., “A generalized multipoint boundary value problem for second order ordinary differential equations”, Appl. Math. Comput. 89 (1998) 133146.
[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.
[5]Ma, R., “Existence of solutions of nonlinear m-point boundary value problem”, J. Math. Anal. Appl. 256 (2001) 556567.
[6]Ma, R., “Multiple positive solutions for nonlinear m-point boundary value problems”, Appl. Math. Comput. 148 (2004) 249262.
[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.
[8]Wang, Y., “Existence of multiple positive solutions for one-dimensional p-Laplacian”, J. Math. Anal. Appl. 315 (2006) 144153.
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The ANZIAM Journal
  • ISSN: 1446-1811
  • EISSN: 1446-8735
  • URL: /core/journals/anziam-journal
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