ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

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## Existence of a Limiting Regime in the Sense of Demidovic for a Certain Class of Second Order Nonlinear Vector Differential Equations

### Автор(ы):

Department of Mathematics,
Federal University of Agriculture,
Abeokuta, Nigeria.

tjyanju2000@yahoo.com

### Аннотация:

In this paper, we employ a complete Lyapunov function, Demidovic theorem and the generalized theorems of Ezeilo to establish sufficient conditions for the existence of a limiting regime in the sense of Demidovic for certain second order nonlinear vector differential equation. We equally prove that the limiting regime is periodic or almost periodic with respect to variable t, uniformly in X, Y whenever the forcing term is periodic or almost periodic. The results in this paper are quiet new with respect to second order differential equations.

### Ключевые слова

• convergence
• limiting regime
• Lyapunov function
• second order nonlinear differential equation
• uniformly periodic (or almost periodic) solution

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