Interval oscillation of a second order nonlinear differential equation with a damping term

Yuri V. Rogovchenko; Fatoş Tuncay

doi:10.3934/proc.2007.2007.883

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2007, Volume 2007: 883-891. Doi: 10.3934/proc.2007.2007.883 open access

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Interval oscillation of a second order nonlinear differential equation with a damping term

Yuri V. Rogovchenko^1, and
Fatoş Tuncay^2,

1.
School of Pure and Applied Natural Sceinces, University of Kalmar, SE-39182 Kalmar
2.
Department of Mathematics, Eastern Mediterranean University, Famagusta, TRNC, Mersin 10

Received: August 31, 2006

Revised: January 31, 2007

Published: August 2007

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Abstract

Using generalized Riccati transformations, we derive new interval oscillation criteria for a class of second order nonlinear differential equations with damping. Our theorems prove to be efficient in many cases where known results fail to apply.

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Mathematics Subject Classification: Primary: 34C10.

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