Electron. J. Diff. Equ., Vol. 2014 (2014), No. 103, pp. 1-10.

Oscillation criteria for second-order nonlinear perturbed differential equations

Pakize Temtek

Abstract:
In this article, we study the oscillation of solutions to the nonlinear second-order differential equation
$$ \Big(r(t)\psi(x(t))|x'(t)|^{\alpha-1}x'(t)\Big)' +P(t,x'(t))\psi(x(t))+Q(t,x(t))=0. $$
We obtain sufficient conditions for the oscillation of all solutions to this equation.

Submitted January 13, 2014. Published April 11, 2014.
Math Subject Classifications: 34C10, 35C15.
Key Words: Oscillation; second order nonlinear differential equation.

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Pakize Temtek
Department of Mathematics, Faculty of Science
Erciyes University, Kayseri, Turkey
email: temtek@erciyes.edu.tr

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