Open Access Research Article

Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions

Jian-Ping Sun* and Hai-Bao Li

Author Affiliations

Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

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Boundary Value Problems 2010, 2010:874959  doi:10.1155/2010/874959

Published: 2 November 2010

Abstract

This paper is concerned with the following third-order boundary value problem with integral boundary conditions , where and . By using the Guo-Krasnoselskii fixed-point theorem, some sufficient conditions are obtained for the existence and nonexistence of monotone positive solution to the above problem.