Affiliation:
1. Department of Mathematics , Presidency College , Chennai - 600 005 , India
2. Ramanujan Institute for Advanced Study in Mathematics , University of Madras , Chennai - 600 005 , India
Abstract
Abstract
This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference equation
Δ
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\Delta {\left( {{b_n}\Delta ({a_n}(\Delta {x_n}} \right)^\alpha })) + {p_n}f\left( {{x_{\sigma \left( n \right)}}} \right) = g\left( {n,{x_n},{x_{\sigma (n)}},\Delta {x_n}} \right),\,\,\,n \ge {n_0}.
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.
Subject
Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis
Reference16 articles.
1. [1] B. Abdalla, K. Abodayeh, T. Abdeljawad and J.O. Alzabut, New oscillation criteria for forced nonlinear fractional difference equations, Vietnam J. Math., 2017, 45:609-618.
2. [2] R. P. Agarwal, M. Bohner, S. R. Grace and D. O’Regan, Discrete Oscillation Theory, Hindawi Publ. Corp., New York, 2005.
3. [3] J.O. Alzabut and Y. Bolat, Oscillation criteria for nonlinear higher order forced functional difference equations, Vietnam J. Math., DOI:10.1007/s10013-014-0106-y, 2014.
4. [4] Y. Bolat and J.O. Alzabut, On the oscillation of higher order halflinear delay difference equations, Appl. Math. Inf. Sci., 6,(3)(2012), 423-427.
5. [5] Y. Bolat and J.O. Alzabut, On the oscillation of even order half linear functional difference equations with damping term, International J. Diff. Equ., 2014, Article ID: 791631, 6 pages.
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2 articles.
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