Periodic Boundary Value Problem for Impulsive Evolution Equations with Noncompact Semigroup

• Weifeng Ma ^[1] ; Yongxiang Li ^[1]
  1. [1] Northwest Normal University

     Northwest Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • In this paper, by applying the Sadovskii’s fixed point theorem, we obtain the existence and uniqueness result of mild solution for a class of periodic boundary value problem of impulsive evolution equations in Banach space with noncompact semigroup in the case that the nonlinearity term f and impulsive functions Ik satisfy growth conditions and the measure of noncompactness conditions. And we give a specific example to illustrate our main results.