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

• Yanfang Li ^[3] ; Donal ORegan ^[1] ; Jiafa Xu ^[2]
  1. [1] National University of Ireland

     National University of Ireland

     Irlanda

     
  2. [2] Chongqing Normal University

     Chongqing Normal University

     China

     
  3. [3] Suqian University

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: español
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• Resumen

  • 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.