Research Article
Oscillation results of higher order nonlinear neutral delay difference equations with a nonlinear neutral term
Abstract
In this work, we shall consider higher order nonlinear neutral delay
difference equation of the type
∆m [xn + pnx
α
n−k] + qnx
β
n−l = 0 , n = 0, 1, 2, ...
where {pn} is a sequence of real numbers, {qn} is a sequence of nonnegative real numbers, k and l are positive integers and α, β ∈ (0, ∞)
are quotient of odd positive integers. We obtain sufficient conditions for
the oscillations of all solutions of this equation.
difference equation of the type
∆m [xn + pnx
α
n−k] + qnx
β
n−l = 0 , n = 0, 1, 2, ...
where {pn} is a sequence of real numbers, {qn} is a sequence of nonnegative real numbers, k and l are positive integers and α, β ∈ (0, ∞)
are quotient of odd positive integers. We obtain sufficient conditions for
the oscillations of all solutions of this equation.
References
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Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | October 1, 2014 |
| Published in Issue | Year 2014 Volume: 43 Issue: 5 |