Some Criteria for the Asymptotic Behavior of a Certain Second Order Nonlinear Perturbed Differential Equation

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DOI: 10.4236/apm.2012.25048    2,986 Downloads   5,676 Views  Citations
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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.

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A. Tiryaki, "Some Criteria for the Asymptotic Behavior of a Certain Second Order Nonlinear Perturbed Differential Equation," Advances in Pure Mathematics, Vol. 2 No. 5, 2012, pp. 341-343. doi: 10.4236/apm.2012.25048.

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