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Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales

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Abstract

In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence of nontrivial solutions under some conditions concerning the spectral radius of this linear operator. Our method improves and generalizes some results in the literature.

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Authors and Affiliations

  1. College of Arts and Science, Suqian University, Suqian, 223800, China

    Yanfang Li

  2. School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland

    Donal O’Regan

  3. School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, China

    Jiafa Xu

Authors
  1. Yanfang Li
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  2. Donal O’Regan
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  3. Jiafa Xu
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YL and JX wrote the main manuscript text, All authors reviewed the manuscript.

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Correspondence to Jiafa Xu.

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Li, Y., O’Regan, D. & Xu, J. Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales. Qual. Theory Dyn. Syst. 23, 102 (2024). https://doi.org/10.1007/s12346-024-00954-9

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