Existence and compactness of solution of semilinear integro-differential equations with finite delay

• Date: 2022
• Main Authors: Sahraoui, F., Ouahab, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7106
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We present some existence and uniqueness results for a class of functional integro-differential evolution equations  generated by the resolvent operator for which the semigroup is not necessarily compact. It  is proved that the set of solutions...