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Oscillation Criteria for Second Order Nonlinear Dynamic Equations with p-Laplacian and Damping
Journal article   Peer reviewed

Oscillation Criteria for Second Order Nonlinear Dynamic Equations with p-Laplacian and Damping

Taher S. Hassan and Qingkai Kong
Acta mathematica scientia, Vol.33(4), pp.975-988
01/07/2013
DOI: https://doi.org/10.1016/S0252-9602(13)60056-9

Abstract

34K11 39A10 39A99 dynamic equations oscillation time scales
This paper concerns the oscillation of solutions of the second order nonlinear dynamic equation with p-Laplacian and damping (r(t)φα(x△(t)))△ +p(t)φα(x△σ(t))  +q(t)f(xσ(t)) =0 on a time scale ⊤ which is unbounded above. Sign changes are allowed for the coefficient functions r, p and q. Several examples are given to illustrate the main results.

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