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November 2012 Oscillation and nonoscillation of certain second order quasilinear dynamic equations
Zhiting Xu, Yuanfeng Wang
Hiroshima Math. J. 42(3): 385-409 (November 2012). DOI: 10.32917/hmj/1355238374

Abstract

We establish new oscillation and nonoscillation theorems for the second order quasilinear dynamic equation

(r(t)|y^{\Delta}(t)|^{\alpha-1}y^{\Delta}(t))^{\Delta}+f(t,y^{\sigma}(t))=0

on a time scale $\T$. Our results not only extend the results given in J. Wang, "On second order quasilinear oscillations," Funkcialaj Ekvacioj, 41 (1998), 25-54, but also unify the oscillation and nonoscillation criteria for second order quasilinear differential equations and difference equations.

Citation

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Zhiting Xu. Yuanfeng Wang. "Oscillation and nonoscillation of certain second order quasilinear dynamic equations." Hiroshima Math. J. 42 (3) 385 - 409, November 2012. https://doi.org/10.32917/hmj/1355238374

Information

Published: November 2012
First available in Project Euclid: 11 December 2012

zbMATH: 1266.34145
MathSciNet: MR3050127
Digital Object Identifier: 10.32917/hmj/1355238374

Subjects:
Primary: 34K11, 39A10
Secondary: 34N05, 39A99

Rights: Copyright © 2012 Hiroshima University, Mathematics Program

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Vol.42 • No. 3 • November 2012
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