Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Boundary Value Problems 2010, 2010:874959 doi:10.1155/2010/874959Published: 2 November 2010
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.