On positive solutions of some nonlinear fourth-order beam equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On positive solutions of some nonlinear fourth-order beam equations

Authors:	Zhanbing Bai Haiyan Wang

Affiliation:	^a Department of Applied Mathematics, University of Petroleum, Dong ying 257061, PR China;^b Department of Mathematics, Michigan State University, East Lasing, MI 48824, USA

Abstract:	The existence, uniqueness and multiplicity of positive solutions of the following boundary value problem is considered: u⁽⁴⁾(t)−λf(t,u(t))=0, for 0<t<1,u(0)=u(1)=u″(0)=u″(1)=0, where λ>0 is a constant, f :[0,1]×[0,+∞)→[0,+∞) is continuous.

Keywords:	Fourth-order BVP Positive solution Fixed-point index
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