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

Authors : Vahid ROOMİ, Hamid Reza AHMADİ

Pages : 215-231

Doi:10.31197/atnaa.1212287

View : 61 | Download : 129

Publication Date : 2023-03-31

Article Type : Research Paper

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