Oscillation theorems for second-order half-linear neutral difference equations
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DOI:
https://doi.org/10.26637/mjm204/013Abstract
In this article, some new oscillation criteria are established for the second order neutral difference equation of the form
$$
\Delta\left(a(n) \Delta(z(n))^\alpha\right)+q(n) x^\alpha(\sigma(n))=0, n \geq n_0
$$
where \(z(n)=x(n)+p(n) x(\tau(n))\). Our results improve and extend some known results in the literature. Some examples are also provided to show the importance of these results.
Keywords:
Half-linear, neutral, oscillation, difference equationsMathematics Subject Classification:
39A10- Pages: 460-471
- Date Published: 01-10-2014
- Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)
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