Asymptotic behaviour of solutions of some second order nonlinear differential equations
Asymptotic behaviour of solutions of some second order
This paper investigates the asymptotic behaviour of solutions of some second order nonlinear ordinary, delay and stochastic differential equations. Order of these differential equations are reduced to system of first order and employed to constructing a suitable complete Lyapunov functions and functional. Standard conditions are imposed on the nonlinear terms to obtain criteria which guarantee the asymptotic behaviour of solutions of the considered equations. Examples are given to illustrate the obtained results. Our results improve and extend some well known results in literature.
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