TITLE:
Some Criteria for the Asymptotic Behavior of a Certain Second Order Nonlinear Perturbed Differential Equation
AUTHORS:
Aydin Tiryaki
KEYWORDS:
Perturbed Differential Equations; Nonoscillatory Solution; Asymptotic Behavior
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.5,
September
26,
2012
ABSTRACT: In this paper we give sufficient conditions so that for every nonoscillatory u(t) solution of (r(t)ψ(u)u')'+Q(t,u,u'), we have lim inf|u(t)|=0. Our results contain the some known results in the literature as particular cases.