A. L. Olutimo - Department of Mathematics, Lagos State University, Nigeria. A. Bilesanmi - Department of General Studies, Petroleum Training Institute, Effurun, Warri, Nigeria. I. D. Omoko - Department of Mathematics, Lagos State University, Nigeria.
In this paper, the stability and boundedness analysis of a certain system of two nonlinear delay differential equations with variable delay \(\varrho(t)\) is carried out. By using the Lyapunov's second method and Lyapunov-Krasovskii's functional derived from the differential equations describing the system which yielded a better stability and boundedness estimate to establish sufficient conditions for the uniform asymptotic stability of the trivial solution and uniform ultimate boundedness of solution. These new results improve and generalize some results that can be found in the literature.
A. L. Olutimo, A. Bilesanmi, I. D. Omoko, Stability and boundedness analysis for a system of two nonlinear delay differential equations, Journal of Nonlinear Sciences and Applications, 16 (2023), no. 2, 90--98
Olutimo A. L., Bilesanmi A., Omoko I. D., Stability and boundedness analysis for a system of two nonlinear delay differential equations. J. Nonlinear Sci. Appl. (2023); 16(2):90--98
Olutimo, A. L., Bilesanmi, A., Omoko, I. D.. "Stability and boundedness analysis for a system of two nonlinear delay differential equations." Journal of Nonlinear Sciences and Applications, 16, no. 2 (2023): 90--98
