Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities

We deal with the existence and multiplicity of solutions for the periodic boundary value problem x″(t)+a(t)x(t)=λg(t)f(x)+c(t), x(0)=x(T), x′(0)=x′(T), where λ is a positive parameter. The function f:(0,∞)→(0,∞) is allowed to be singular, and the related Green's function is nonnegative and can...

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Bibliographic Details
Main Authors: Alberto Cabada, José Ángel Cid
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/545264