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# Nonautonomous Dynamical Systems

### formerly Nonautonomous and Stochastic Dynamical Systems

Editor-in-Chief: Diagana, Toka

Managing Editor: Cánovas, Jose

Covered by MathSciNet and Zentralblatt Math (zbMATH)

Mathematical Citation Quotient (MCQ) 2018: 0.62

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ISSN
2353-0626
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Volume 6, Issue 1

# Oscillation of nonlinear third order perturbed functional difference equations

P. Dinakar
/ S. Selvarangam
/ E. Thandapani
• Corresponding author
• Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai - 600 005, India
• Email
• Other articles by this author:
Published Online: 2019-07-11 | DOI: https://doi.org/10.1515/msds-2019-0004

## Abstract

This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation

$Δ(bnΔ(an(Δxn)α))+pnf(xσ(n))=g(n,xn,xσ(n),Δxn), n≥n0.$

By using comparison techniques we present some new sufficient conditions for the oscillation of all solutions of the studied equation. Examples illustrating the main results are included.

MSC 2010: 39A10

## References

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Accepted: 2019-06-14

Published Online: 2019-07-11

Published in Print: 2019-01-01

Citation Information: Nonautonomous Dynamical Systems, Volume 6, Issue 1, Pages 57–64, ISSN (Online) 2353-0626,

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