Improved oscillation conditions for third-order neutral type difference equations

Date

2017-03-29

Authors

Selvarangam, Srinivasan
Madhan, Mayakrishnan
Thandapani, Ethiraju
Pinelas, Sandra

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study the oscillatory behavior of the third-order neutral type difference equation ∆(αn(∆2(xn + pnxn-k))α) + qnƒ(xn-l) = 0 where α > 0, αn > 0, qn ≥ 0 and 0 ≤ pn ≤ p < ∞. By using generalized Ricatti type transformation we present some new criteria which ensure that every solution is oscillatory. Also we provide examples that illustrate the importance of our results.

Description

Keywords

Asymptotic behavior, Oscillation, Third order, Neutral difference equation

Citation

Selvarangam, S., Madhan, M., Thandapani, E., & Pinelas, S. (2017). Improved oscillation conditions for third-order neutral type difference equations. <i>Electronic Journal of Differential Equations, 2017</i>(90), pp. 1-13.

Rights

Attribution 4.0 International

Rights Holder

Rights License