Some Results on the Linearized Oscillation of the Odd-order Neutral Difference Equation

In this article, we obtain some results on the linearized oscillation of the odd-order neutral difference equation <artwork name="GAPA31013eu1"> where Δ is the forward difference operator, m is odd, {p_n },{q_n } are sequences of nonnegative real numbers, k, l are nonnegative integers, g(x),h(x)∈ C(R,R) with xg(x) > 0 for x ≠0.

Keywords:

• Odd-order
• Neutral Difference Equation
• Linearized Oscillation
• Ams Subject Classifications: 39a10
• 39a12