Existence of Positive Solutions to Singular Fourth-Order Boundary Value Problems with Two Parameters

journal6 ›› 2010, Vol. 31 ›› Issue (3): 15-20.

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Existence of Positive Solutions to Singular Fourth-Order Boundary Value Problems with Two Parameters

(1.School of Mathematical Sciences,Qufu Normal University,Qufu 273165,Shandong China;2.Vocational College,Shandong institute of Technology,Jining 272017,Shandong China)

Online:2010-05-25 Published:2012-04-17

Abstract

Abstract: The existence of positive solutions to singular fourth-order boundary value problems with two parameters is considered,where the nonlinear term f(t,x,y) may be singular at x=0,y=0.The main tool is the fixed point theorem in cone.When λ lies in certain range,the boundary value problem in question has at least one positive solution.

Key words: singular boundary value problem, positive solutions, cone, fixed point theorem, compact operator

LIU Qian, SUN Qin-Fu, OuYang-Jin-Gang . Existence of Positive Solutions to Singular Fourth-Order Boundary Value Problems with Two Parameters[J]. journal6, 2010, 31(3): 15-20.

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Existence of Positive Solutions to Singular Fourth-Order Boundary Value Problems with Two Parameters

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