Positive Solutions for Second‐Order Singular Semipositone Differential Equations Involving Stieltjes Integral Conditions

Jiqiang Jiang, Lishan Liu and Yonghong Wu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: By means of the fixed point theory in cones, we investigate the existence of positive solutions for the following second‐order singular differential equations with a negatively perturbed term: −u′′(t) = λ[f(t, u(t)) − q(t)], 0 0 is a parameter; f : (0, 1) × (0, ∞) → [0, ∞) is continuous; f(t, x) may be singular at t = 0, t = 1, and x = 0, and the perturbed term q : (0, 1) → [0, +∞) is Lebesgue integrable and may have finitely many singularities in (0, 1), which implies that the nonlinear term may change sign.

Date: 2012
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https://doi.org/10.1155/2012/696283

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:696283

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