Geodesic
Stability and boundedness analysis for a system of two nonlinear delay differential equations
Olutimo, A. L. 1 ; Bilesanmi, A. 2 ; Omoko, I. D. 1
1 Department of Mathematics, Lagos State University, Nigeria
2 Department of General Studies, Petroleum Training Institute, Effurun, Warri, Nigeria
Journal of nonlinear sciences and its applications, Tome 16 (2023) no. 2, p. 90-98.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.016.02.02
Classification : 34D20, 34D23, 34K40
Keywords: Stability, boundedness, delay differential equation, Lyapunov's method

Olutimo, A. L.  1 ; Bilesanmi, A.  2 ; Omoko, I. D.  1

1 Department of Mathematics, Lagos State University, Nigeria
2 Department of General Studies, Petroleum Training Institute, Effurun, Warri, Nigeria 
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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 its applications, Tome 16 (2023) no. 2, p. 90-98. doi : 10.22436/jnsa.016.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.016.02.02/

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