Investigation of a linear evolution system in the Banach space with random times of perturbations

• Datum: 1998
• Hauptverfasser: Svishchuk, M. Ya., Свіщук, М. Я.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4945
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For a linear evolution system given in the Banach space and characterized by pulse perturbations at random times, we establish conditions for the existence of a unique solution of the Cauchy problem and investigate the stability of the zero solution.