Improved oscillation conditions for third-order neutral type difference equations

dc.contributor.authorSelvarangam, Srinivasan
dc.contributor.authorMadhan, Mayakrishnan
dc.contributor.authorThandapani, Ethiraju
dc.contributor.authorPinelas, Sandra
dc.date.accessioned2022-04-08T16:52:29Z
dc.date.available2022-04-08T16:52:29Z
dc.date.issued2017-03-29
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSelvarangam, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15622
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectAsymptotic behavior
dc.subjectOscillation
dc.subjectThird order
dc.subjectNeutral difference equation
dc.titleImproved oscillation conditions for third-order neutral type difference equations
dc.typeArticle

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