Stability of Uncertain Equations of Volterra-Levin type and an Uncertain Delay Differential Equation Via Fixed Point Method‎

Year 2023, Volume: 7 Issue: 1, 215 - 231, 31.03.2023

Vahid Roomi , Hamid Reza Ahmadi

https://doi.org/10.31197/atnaa.1212287

Abstract

‎In this work four uncertain delay differential equations of Volterra-Levin type will be considered‎. ‎Applying suitable contraction mapping and fixed point method‎, ‎the stability of the equations will be studied‎. ‎It will be shown that the solutions are bounded and‎, ‎with additional condition‎, ‎the solutions tend to zero‎. ‎Also‎, ‎a necessary and sufficient condition for the asymptotic stability of the solutions of an uncertain differential equation will be presented‎.

Keywords

‎Stability, Lyapunov, Fixed point techniques, Uncertain delay differential equations

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