Oscillation Criteria for a Class of Second-Order Nonlinear Differential Equations with Damping Term

A class of second-order nonlinear differential equations with damping term (r(t)|x′(t)|σ−1x′(t))′+p(t)|x′(t)|σ−1x′(t)+q(t)f(x(t))=0 are investigated in this paper. By using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some references are exten...

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Veröffentlicht in:Abstract and applied analysis 2009, Vol.2009 (2009), p.1-12
Hauptverfasser: Ouyang, Zigen, Zhong, Jichao, Zou, Shuliang
Format: Artikel
Sprache:eng
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Zusammenfassung:A class of second-order nonlinear differential equations with damping term (r(t)|x′(t)|σ−1x′(t))′+p(t)|x′(t)|σ−1x′(t)+q(t)f(x(t))=0 are investigated in this paper. By using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some references are extended in this paper. Examples are inserted to illustrate this result.
ISSN:1085-3375
1687-0409