Oscillatory Behavior of Solutions of Fourth-order Mixed Neutral Difference Equations with Asynchronous Non Linearities
Shirmila Premkumari. K
ShirmilaPremkumari. K, Karunya Institute of Technology and Sciences, Coimbatore, India.
Manuscript received on 19 October 2019 | Revised Manuscript received on 25 October 2019 | Manuscript Published on 29 June 2020 | PP: 63-66 | Volume-8 Issue-10S2 August 2019 | Retrieval Number: J101108810S19/2019©BEIESP | DOI: 10.35940/ijitee.J1011.08810S19
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this article, oscillation criteria for solutions of fourth order mixed type neutral difference equation with asynchronous non linearities of the form Δ2(an Δ2 (xn+ bnxn -τ1 +cnxn+τ2)) + qn xα n+1 -τ1 + pn xβn+1+α2 =0
where{an}, {bn}, {cn}, {qn} and {pn} are established.
Examples are provided to illustrate the results.
Keywords: Oscillation, Neutral difference equation,
asynchronous.
Scope of the Article: Smart Solutions – Wearable Sensors and Smart Glasses