Positive solutions for a class of boundary-value problems with integral boundary conditions

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Abstract

This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed-point theory in cone. The nonexistence of positive solutions is also studied.

Keywords

Boundary-value problem
Integral boundary conditions
Positive solution
Fixed-point theorem
Existence

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Supported by NNSF of China (10671012) and SRFDP of China (20050007011) and the Science Foundation for Young Teachers of North China Electric Power University.