On asymptotically stability, uniformly stability and boundedness of solutions of nonlinear Volterra integro-differential equations

• Date: 2020
• Main Authors: Tunç, C., Mohammed , S. A.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6037
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 In this paper, two new Lyapunov functionals are defined. We apply these functionals to get sufficient conditions guaranteeing the asymptotic stability, uniform stability, and boundedness of solutions of certain nonlinear Volterra integro-differential equations of the first order. The resul...