Oscillation of fourth-order nonlinear neutral delay dynamic equations

Authors : S R GRACE, A ZAFER

Pages : 331-339

View : 22 | Download : 7

Publication Date : 2015-04-01

Article Type : Research Paper

Abstract :In this work we establish some new sufficient conditions for oscillation of fourth-order nonlinear neutral delay dynamic equations of the form $insert ignore into journalissuearticles values(\alphainsert ignore into journalissuearticles values(t);insert ignore into journalissuearticles values([xinsert ignore into journalissuearticles values(t);-pinsert ignore into journalissuearticles values(t);xinsert ignore into journalissuearticles values(hinsert ignore into journalissuearticles values(t););]^{\triangle\triangle\triangle});^{\alpha});^{\triangle}+qinsert ignore into journalissuearticles values(t);x^{\beta}insert ignore into journalissuearticles values(ginsert ignore into journalissuearticles values(t););=0$ , $t\epsilon[t_{0},\infty);_{T}$ where α and β are quotients of positive odd integers with β ≤ α.
Keywords : Oscillation, Neutral, Time scales, Fourth order