Stability, Boundedness and periodic solutions to certain second order delay differential equations

A. T. Ademola, P. O. Arawomo, A. S. Idowu

Resumen


Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov’s direct (or second) method, a complete Lyapunov functional is constructed and used to establish suf- ficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results.

Palabras clave


Second order ; Nonlinear differential equation ; Uniform stability ; Uniform ultimate boundedness ; Existence of a unique periodic solutions

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Referencias


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