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

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Abstract

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.

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Authors and Affiliations

  1. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, 22000, Sidi Bel-Abbès, Algeria

    Abdelhamid Bensalem, Abdelkrim Salim & Mouffak Benchohra

  2. Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151, 02000, Chlef, Algeria

    Abdelkrim Salim

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  1. Abdelhamid Bensalem
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  2. Abdelkrim Salim
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  3. Mouffak Benchohra
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Bensalem, A., Salim, A. & Benchohra, M. Ulam–Hyers–Rassias Stability of Neutral Functional Integrodifferential Evolution Equations with Non-instantaneous Impulses on an Unbounded Interval. Qual. Theory Dyn. Syst. 22, 88 (2023). https://doi.org/10.1007/s12346-023-00787-y

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