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《Acta Analysis Functionalis Applicata》 2008-01
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On Positive Solutions of Singular Fourth-order Sturm-Liouville Boundary value Problem

WANG Rui1,2, QI Shi-shuo21. Department of Information and Computational Science, Henan Agricultural University,Zhengzhou 450002, China2. Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China  
We established a conclusion of the existence of positive solutions for the fourth-order boundary value problem {u(4)(t)-λh(t)f(t,u(t))=0, t∈(0,1),u(0)=u(1)=0,αu″(0)-βu′″(0)=0, γu″(1)+δu′″(1)=0,where α,β,γ,δ≥0,α+β0,δ+γ0,ρ=αγ+γβ+δα0,λ is a positive parameter, h(t)∈C(0,1) and f∈C((0,1)×(0,+∞)). The main approaches for our research are the fixed point index theorem and the approximation theorem of completely continuous operator.
【Fund】: China Scholarship Council-henan Programme;; The Foundation for Key Teachers ofHenan Province
【CateGory Index】: O175.8
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