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

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  • Jiqiang Jiang
  • Lishan Liu
  • Yonghong Wu

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: , , , where is a parameter; is continuous; may be singular at , and , and the perturbed term is Lebesgue integrable and may have finitely many singularities in , which implies that the nonlinear term may change sign.

Suggested Citation

  • Jiqiang Jiang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for Second-Order Singular Semipositone Differential Equations Involving Stieltjes Integral Conditions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-21, June.
    • Handle: RePEc:hin:jnlaaa:696283
    DOI: 10.1155/2012/696283
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    Cited by:

    1. Wang, Mei & Du, Feifei & Chen, Churong & Jia, Baoguo, 2019. "Asymptotic stability of (q, h)-fractional difference equations," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 158-167.

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