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Oscillation criteria of second order nonlinear neutral differential equations

International Journal of Applied Mathematical Research • 2015
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Publication Information
Authors A. A. Soliman, R. A. Sallam, Ahmed Mohamed Hassan
Keywords Not Available
Journal International Journal of Applied Mathematical Research
Publisher Science Publishing Corporation
Volume 1
Issue 3
Pages 314-322
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
Abstract This paper is concerned with the oscillation of second-order nonlinear neutral
differential equations of the form [r (t)[(x (t)+ p (t) x (σ (t)))′] γ]′+ f (t, x (τ (t)))= 0, by using a
generalized Riccati's technique and integral averaging technique, we establish new
oscillation results which handle some cases not covered by known criteria. Keywords:
Oscillation, second order, Nonlinear equation, Neutral type.