We present some existence and uniqueness results for a class of functional integrodifferential evolution equations generated by the resolvent operator for which the semigroup is not necessarily compact. It is proved that the set of solutions is compact. Our approach is based on fixed-point theory. Finally, some examples are given to illustrate the results.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 9, pp. 1231–1255, September, 2022. Ukrainian DOI:https://doi.org/10.37863/umzh.v74i9.7106
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Sahraoui, F., Ouahab, A. Existence and Compactness of Solutions of Semilinear Integrodifferential Equations with Finite Delay. Ukr Math J 74, 1404–1432 (2023). https://doi.org/10.1007/s11253-023-02143-4
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DOI: https://doi.org/10.1007/s11253-023-02143-4