Browsing by Author "Mohammed, S.A."

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New Results on Exponential Stability of Nonlinear Volterra Integro-Differential Equations With Constant Time-Lag
(Universidad Catolica del Norte, 2017) Tunç, C.; Mohammed, S.A.
In the present work, we pay attention to a number of nonlinear Volterra integro-differential equations (VIDEs) with constant timelag. We define three new Lyapunov functionals (LFs) and employ them to get specific conditions guaranteeing the uniform exponential asymptotic stability (UEAS) of the trivial solutions of the (VIDEs) considered. The results obtained generalize, compliment and improve the existing results in the literature from the cases of the without delay to the more general cases with time-lag.
On the Qualitative Properties of Differential Equations of Third Order With Retarded Argument
(Universidad Catolica del Norte, 2014) Tunç, C.; Mohammed, S.A.
By using the standard Liapunov-Krasovskii functional approach, in this paper, new stability, boundedness and ultimately boundedness criteria are established for a class of vector functional differential equations of third order with retarded argument.
Uniformly Boundedness in Nonlinear Volterra Integro-Differential Equations With Delay
(L and H Scientific Publishing, LLC, 2019) Tunç, C.; Mohammed, S.A.
We pay our attention to a number of nonlinear Volterra integrodifferential equations of first order, VIDEs, with constant retardation. The uniform boundedness, UB, of the solutions, to that VIDEs is investigated via the Lyapunov functionals, LFs, method. The results obtained improve and complement a number of works found in the literature. The novelty and originality of this article is that it improves and extends the results found in the literature from the cases of the without delay to the more general cases with delay by constructing some new LFs. © 2019 L & H Scientific Publishing, LLC.