Version 1
: Received: 27 December 2018 / Approved: 28 December 2018 / Online: 28 December 2018 (12:37:29 CET)
How to cite:
Mohan Reddy, P.; Kilicman, A.; Manuel, M. S. Oscillation of a Class of Third Order Generalized Functional Difference Equation. Preprints2018, 2018120349. https://doi.org/10.20944/preprints201812.0349.v1
Mohan Reddy, P.; Kilicman, A.; Manuel, M. S. Oscillation of a Class of Third Order Generalized Functional Difference Equation. Preprints 2018, 2018120349. https://doi.org/10.20944/preprints201812.0349.v1
Mohan Reddy, P.; Kilicman, A.; Manuel, M. S. Oscillation of a Class of Third Order Generalized Functional Difference Equation. Preprints2018, 2018120349. https://doi.org/10.20944/preprints201812.0349.v1
APA Style
Mohan Reddy, P., Kilicman, A., & Manuel, M. S. (2018). Oscillation of a Class of Third Order Generalized Functional Difference Equation. Preprints. https://doi.org/10.20944/preprints201812.0349.v1
Chicago/Turabian Style
Mohan Reddy, P., Adem Kilicman and Maria Susai Manuel. 2018 "Oscillation of a Class of Third Order Generalized Functional Difference Equation" Preprints. https://doi.org/10.20944/preprints201812.0349.v1
Abstract
The authors intend to establish new oscillation criteria for a class of generalized third order functional difference equation of the form \begin{equation}{\label{eq01}} \Delta_{\ell}\left(a_2(n)\left[\Delta_{\ell}\left(a_1(n)\left[\Delta_{\ell}z(n)\right]^{\beta_1}\right)\right]^{\beta_2}\right)+q(n)f(x(g(n)))=0, ~~n\geq n_0, \end{equation} where $z(n)=x(n)+p(n)x(\tau(n))$. We also present sufficient conditions for the solutions to converges to zero. Suitable examples are presented to validate our main results.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.