New oscillation criteria for fourth order delay difference equations with damping
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DOI:
https://doi.org/10.26637/MJM0803/0018Abstract
The main purpose of this article is to study the oscillatory behavior of solutions of the fourth-order DDE with damping,
$$
\Delta^4 u(n)+p(n) \Delta u(n+1)+q(n) u(\sigma(n))=0
$$
under the assumption that the auxiliary third order difference equation,
$$
\Delta^3 z(n)+p(n) z(n+1)=0
$$
is nonoscillatory. In contrast with the existing results, the paper present oscillation of all solutions and simplify the examination process of oscillation. An example is provided to dwell upon the importance of the main result.
Keywords:
Fourth-order, delay difference equation(DDE), oscillation, comparison theoremMathematics Subject Classification:
Mathematics- Pages: 838-844
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
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