Electron. J. Diff. Eqns., Vol. 2007(2007), No. 34, pp. 1-10.

Positive solutions of nonlinear m-point boundary-value problem for p-Laplacian dynamic equations on time scales

Yanbin Sang, Huiling Xi

Abstract:
In this paper, we study the existence of positive solutions to nonlinear m-point boundary-value problems for a p-Laplacian dynamic equation on time scales. We use fixed point theorems in cones and obtain criteria that generalize and improve known results.

Submitted May 15, 2006. Published February 27, 2007.
Math Subject Classifications: 34B18.
Key Words: Time scale; three-point boundary-value problem; cone; fixed point; positive solution.

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Yanbin Sang
Department of Mathematics
North University of China
Taiyuan 030051, Shanxi, China
email: syb6662004@163.com
Huiling Xi
Department of Mathematics
North University of China
Taiyuan 030051, Shanxi, China
email: cxhhhl@126.com

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