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