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Existence of Solutions for Two-Point Integral Boundary Value Problems with Impulses

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Abstract

In this paper, we investigate the existence of at least one solution and at least two nonnegative solutions of impulsive differential equations with the two-point integral boundary conditions. We employ the recent fixed point theorems for the sum of two operators on Banach spaces. The applicability of the results is illustrated through an example.

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Acknowledgements

The authors are thankful to the referees for their constructive comments and valuable suggestions towards improvement of the paper. The research work of Sanket Tikare is a part of the seed grant MRP (Ref. No. 886/13122021) of Ramniranjan Jhunjhunwala College, Mumbai, India.

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Authors and Affiliations

  1. Department of Mathematics, Sorbonne University, Paris, France

    Svetlin G. Georgiev

  2. Department of Mathematics, Ramniranjan Jhunjhunwala College, Mumbai, Maharashtra, 400 086, India

    Sanket Tikare

  3. 39106, Magdeburg, Germany

    Vipin Kumar

Authors
  1. Svetlin G. Georgiev
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  2. Sanket Tikare
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  3. Vipin Kumar
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All authors contributed equally and significantly in preparing and writing this article. All authors read and approved the final manuscript.

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Correspondence to Sanket Tikare.

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Georgiev, S.G., Tikare, S. & Kumar, V. Existence of Solutions for Two-Point Integral Boundary Value Problems with Impulses. Qual. Theory Dyn. Syst. 22, 97 (2023). https://doi.org/10.1007/s12346-023-00784-1

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