Oscillatory Properties of Third-Order Neutral Delay Difference Equations


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Authors

  • A. George Maria Selvam Sacred Heart College,Tirupattur - 635 601, S.India
  • M. Paul Loganathan Dravidian University, Kuppam, S.India
  • K. R. Rajkumar Sacred Heart College, Tirupattur - 635 601, S.India

Keywords:

Oscillation, third order, difference equations

Abstract

The objective of this paper is to examine oscillatory properties of the third order neutral delay difference equations of the form
\begin{equation*}
\Delta \left(a(n)\Delta \left(b(n)\Delta\left(x(n)+p(n)x(\sigma(n))\right)\right)\right)+q(n)x(\tau(n))=0.
\end{equation*}
Riccati transformation technique is used to obtain some new oscillation criteria.

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Published

01-12-2015

How to Cite

A. George Maria Selvam, M. Paul Loganathan, & K. R. Rajkumar. (2015). Oscillatory Properties of Third-Order Neutral Delay Difference Equations. International Journal of Mathematics And Its Applications, 3(4 - A), 9–13. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/481

Issue

Vol. 3 No. 4 - A (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.