- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 2
- Oscillation of fourth-order nonlinear neutral delay dynamic equations
Oscillation of fourth-order nonlinear neutral delay dynamic equations
Authors : S. R. Grace, A. -zafer
Pages : 331-339
View : 11 | Download : 4
Publication Date : 2015-04-01
Article Type : Research
Abstract :In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $(\alpha(t)([x(t)-p(t)x(h(t))]^{\triangle\triangle\triangle})^{\alpha})^{\triangle}+q(t)x^{\beta}(g(t))=0$ , $t\epsilon[t_{0},\infty)_{T}$ where α and β are quotients of positive odd integers with β ≤ α.Keywords : Oscillation, Neutral, Time scales, Fourth-order