On Qualitative Behaviour of Solutions of Third Order Matrix Delay Differential Equations Adetunji. A. Adeyanju, Cemil Tunç, Babatunde. S. Ogundare Contemporary Mathematics Singapore, 2025 We analyze, using the Lyapunov-Krasovskii method, the conditions for the stability, boundedness and periodicity of solutions to a class of nonlinear matrix differential equation of third order with variable delay. Criteria under which the solutions to the equation considered possess solutions that are stable and bounded on the real line as well as existence of at least one periodic solution are given. Our results generalize and extend many existing results in the literature on scalar, vector and matrix differential equations with or without delay. The integrity of our results is demonstrated by two numerical examples included.
Mathematical Analysis of DDoS Attacks in SDN-based 5G B. O. S. BIAOU, A. O. Oluwatope, B. S. Ogundare Lecture Notes of the Institute for Computer Sciences Social Informatics and Telecommunications Engineering Lnicst, 2023
Stability, boundedness and unique global solutions to certain second order nonlinear stochastic delay differential equations with multiple deviating arguments Nonlinear Studies, 2019
New conditions on the solutions of a certain third order delay differential equations with multiple deviating arguments Differencialnie Uravnenia I Protsesy Upravlenia, 2019
Some new stability and boundedness results on a certain fourth order nonlinear differential equation Nonlinear Studies, 2012
New results on the convergence of solutions for a certain fourth order nonlinear differential equation Journal of Computational Analysis and Applications, 2012
Globally stable periodic solution of certain fourth order non-linear differential equations Far East Journal of Mathematical Sciences, 2010
Stability and boundedness properties of solutions to certain fifth order nonlinear differential equations Matematicki Vesnik, 2009
Boundedness of solutions to fourth order differential equations with oscillatory restoring and forcing terms Electronic Journal of Differential Equations, 2006
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