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

Alberto Cabada and José Ángel Cid

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: 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 vanish at some points.

Date: 2011
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https://doi.org/10.1155/2011/545264

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:545264

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