Oscillation criteria for solutions to nonlinear dynamic equations of higher order

Authors : Donal O’Regan, Taher S Hassan

Pages : 417-427

View : 22 | Download : 5

Publication Date : 2016-04-01

Article Type : Research Paper

Abstract :In this paper using some new dynamic inequalities we present some oscillation results for higher order dynamic equation n rn−1insert ignore into journalissuearticles values(t); φαn−1 h insert ignore into journalissuearticles values(rn−2insert ignore into journalissuearticles values(t);insert ignore into journalissuearticles values(...insert ignore into journalissuearticles values(r1insert ignore into journalissuearticles values(t);φα1 [x ∆insert ignore into journalissuearticles values(t);]);∆...); ∆); ∆ io∆ +p insert ignore into journalissuearticles values(t); φγ insert ignore into journalissuearticles values(x insert ignore into journalissuearticles values(g insert ignore into journalissuearticles values(t););); = 0, on an unbounded time scale T. Some new oscillation criteria are obtained using comparison techniques. Some applications illustrating our results are included.
Keywords : Asymptotic behavior, oscillation, higher order, dynamic equations, dynamic inequality, time scales