Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations
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DOI:
https://doi.org/10.26637/MJM0504/0002Abstract
In this paper, we discuss a class of second order neutral delay difference equation of the form
$$
\Delta\left[r(n)|\Delta z(n)|^{\alpha-1} \Delta z(n)\right]+q(n) f(x(n-\sigma))=0 ; \quad n \geq n_0
$$
where $z(n)=x(n)-p(n) x(n-\tau)$. We determine sufficient conditions under which every solution of the given system is either oscillatory or tends to zero. Our results improve a number of related results reported in the literature.
Keywords:
Oscillation, nonoscillation, asymptotic behavior, neutral, second order, difference equationMathematics Subject Classification:
Mathematics- Pages: 619-624
- Date Published: 01-10-2017
- Vol. 5 No. 04 (2017): Malaya Journal of Matematik (MJM)
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