Browsing by Author "Adeyanju, A.A."

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Uniform-Ultimate Boundedness of Solutions To Vector Lienard Equation With Delay
(Springer-Verlag Italia s.r.l., 2023) Adeyanju, A.A.; Tunç, C.
We establish a set of conditions for the uniform-ultimate boundedness of solutions to a certain system of second order differential equations with variable delay using Lypunov–Krasovskii functional as a basic tool. This result is an addition to the body of literature in many ways. In addition, we provide an example to demonstrate the correctness of our result. © 2022, The Author(s) under exclusive license to Università degli Studi di Ferrara.
Uniform-Ultimate Boundedness, Stability and Periodicity of Solutions To Certain Differential Equation of Third Order
(MTJPAM Turkey, 2024) Adeyanju, A.A.; Tunç, C.
In this paper, we employ Lyapunov direct method to examine certain necessary and sufficient criteria under which the solutions of the nonlinear third order differential equation considered are uniform-ultimately bounded, stable and possess at least one periodic solution when the nonlinear terms in the equation are differentiable functions of their respective arguments. Two numerical examples and graphical representation of the trajectories of the solutions by Maple Software are given to demonstrate the validity and correctness of obtained results. Specifically, our results include, complement and generalize the results in [1] and some other results in literature. © 2024, MTJPAM Turkey. All rights reserved.