This paper deals with oscillatory behavior of solutions of generalized second order quasilinear α difference equation of the form Δα(l)(a((k-1)l+j)|Δα(l)v((k-1)l+j)|γ-1Δlv((k-1)l+j))+F(kl+j,v(kl+j))=G(kl+j,v(kl+j),Δα(l)v(kl+j)), for k ϵ ℕl(n0), where γ&gt; 0 and α &gt; 1. Some sufficient conditions for all solutions of the equation to be oscillatory are obtained. © 2019 Author(s).

Khadar Babu SK

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Srimanju V

V Srimanju

Fulltext

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Oscillatory behavior of perturbed generalized second-order quasilinear α-difference equations

THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS

Authorsipresent sufficienticonditions for theioscillation of the generalizediperturbed quasilinearidifferenceiequation where , and . Examplesiillustrates the importanceiof our results are alsoiincluded.

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Oscillatory behavior of perturbed generalized second-order quasilinear α−difference equations

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