Abstract and Applied Analysis
Volume 2009 (2009), Article ID 512402, 21 pages
doi:10.1155/2009/512402
Existence of Positive Solutions to Singular p-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity
Qiying Wei1
, You-Hui Su2
, Subei Li2
and Xing-Xue Yan4
1College of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China
2School of Mathematics and Physics, XuZhou Institute of Technology, Xuzhou, Jiangsu 221008, China
4Department of Mathematics, Hexi University, Zhangye, Gansu 734000, China
Abstract
By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an m-point singular p-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (𝕋=ℝ) and difference equations (𝕋=ℤ), as well as in general time scales setting. As an application, an example is given to illustrate the results.