Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval

• Abdelhamid Bensalem ^[1] ; Abdelkrim Salim ^[2] ; Mouffak Benchohra ^[1]
  1. [1] Djillali Liabes University of Sidi Bel-Abbès
  2. [2] Djillali Liabes University of Sidi Bel-Abbès & Hassiba Benbouali University of Chlef
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of functional integrodifferential evolution equations with state-dependent delay and non-instantaneous impulsions on infinite intervals via resolvent operators in the sense of Grimmer. Our analysis is based on fixed point theorem with measures of noncompactness and Picard operators. Moreover, an illustrative example is considered to support our new results.