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A Nonlinear Singular Differential System with Perturbed Integral Boundary Conditions

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Abstract

In this paper, we study the existence and multiplicity of positive solutions for a nonlinear singular differential system with perturbed integral boundary conditions. The proof is based on an application of a nonlinear alternative principle of Leray–Schauder and a well-known fixed point theorem in cones. The corresponding results for the nonsingular case are also given.

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Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

The authors would like to show their great thanks to the anonymous referees for their valuable suggestions and comments.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Fang-Fang Liao, Jiao Su & NaNa Xie

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  1. Fang-Fang Liao
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  2. Jiao Su
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  3. NaNa Xie
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Correspondence to Fang-Fang Liao.

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Liao, FF., Su, J. & Xie, N. A Nonlinear Singular Differential System with Perturbed Integral Boundary Conditions. Mediterr. J. Math. 20, 60 (2023). https://doi.org/10.1007/s00009-023-02287-4

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  • DOI: https://doi.org/10.1007/s00009-023-02287-4

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