Oscillation of second-order nonlinear dynamic equations with positive and negative coefficients: Doc 510

The paper considers the oscillation of a second-order nonlinear dynamic equation with positive and negative coefficients of the form [Equation not available: see fulltext.] on an arbitrary time scale [InlineEquation not available: see fulltext.]. We obtain some oscillation criteria for the equation...

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Bibliographic Details
Published in:Advances in difference equations 2013-06, Vol.2013, p.1
Main Authors: Chen, Da-xue, Qu, Pei-xin, Lan, Yong-hong
Format: Article
Language:English
Online Access:Get full text
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Summary:The paper considers the oscillation of a second-order nonlinear dynamic equation with positive and negative coefficients of the form [Equation not available: see fulltext.] on an arbitrary time scale [InlineEquation not available: see fulltext.]. We obtain some oscillation criteria for the equation by developing a generalized Riccati substitution technique. Our results extend and improve some known results in the literature. Several examples are given to illustrate our main results. MSC: 39A10, 34N05.[PUBLICATION ABSTRACT]
ISSN:1687-1839
1687-1847
DOI:10.1186/1687-1847-2013-168