p-Laplace算子方程三点边值问题单调正解的存在性

Existence of Monotone Positive Solutions to a Type of Threepoint Boundary Value Problem withp-Laplacian Operator

LIU Xiping¹, JIA Mei¹, GE Weigao²

1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China; 2. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received:2006-03-09 Revised:1900-01-01 Online:2007-01-26 Published:2007-01-26
Contact: LIU Xiping

Abstract

Abstract: This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear secondorder differential equations with p-Laplacian operator. On the basis of the fixed point theorem on cone, sufficient conditions for the existence of monotone positive solutions are given to the boundary value problems with homogeneous and nonhomogeneous boundary conditions, respectively, and the convexity of solution curves is decided.

Key words: p-Laplacian operator, threepoint boundary value problem, the fixed point theorem on cone, monotone positive solutions

CLC Number:

O175.8

LIU Xiping, JIA Mei, GE Weigao. Existence of Monotone Positive Solutions to a Type of Threepoint Boundary Value Problem withp-Laplacian Operator[J].J4, 2007, 45(01): 49-55.

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Existence of Monotone Positive Solutions to a Type of Threepoint Boundary Value Problem withp-Laplacian Operator

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