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

Khadar Babu SK

Department of Mathematics

School of Advanced Sciences

Vellore Campus

V Sri Manju

V Chandra Sekar

Fulltext

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International Journal of Engineering & Technology

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).

THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS

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

Authors present sufficient conditions for the oscillation solutions of the generalized perturbed quasilinear difference equation where , . Examples are illustrates the importance of our results are also included.

Oscillation of Second-Order Quasilinear Generalized Difference Equations

Oscillation of Generalized Second-Order Quasi Linear Difference Equations

By means of Riccati transformation techniques, authors establish some new oscillation criteria for generalized second order nonlinear -difference equation when and are quotient of odd positive integers.

Journal	International Journal of Engineering & Technology
Publisher	Science Publishing Corporation
Open Access	Yes