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Existence and multiplicity of positive solutions for an elastic beam equation
Authors:Yong-ping Sun
Affiliation:College of Electron and Information, Zhejiang University of Media and Communications, Hangzhou310018, China.
Abstract:This paper investigates the boundary value problem for elastic beam equation of the form
u"(t) = q(t)f(t,u(t)u¢(t),u"(t),u"¢(t)),0 < t < 1,u'(t) = q(t)f(t,u(t)u'(t),u'(t),u'(t)),0 < t < 1,
Keywords:Positive solution   existence and multiplicity   elastic beam equation   fixed point theorem   nonlinear alternate.
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