Oscillation criteria for solutions to nonlinear dynamic equations of higher order

Year 2016, Volume: 45 Issue: 2, 417 - 427, 01.04.2016

Donal O’regan Taher S. Hassan

Abstract

In this paper using some new dynamic inequalities we present some
oscillation results for higher order dynamic equation
n
rn−1(t) φαn−1
h
(rn−2(t)(...(r1(t)φα1
[x
∆(t)])∆...)
∆)
∆
io∆
+p (t) φγ (x (g (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

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