On the Weighted Pseudo Almost Periodic Solutions of Nonlinear Functional Duffing Equation

Authors

Ramazan Yazgan, Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080, Van, TurkeyFollow
Cemil Tunc, Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080, Van, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

This paper investigates a nonlinear Duffing equation with a variable time lag. By using a fixed point theorem, weighted pseudo almost periodic functions and differential inequality techniques, we establish new criteria for existence,uniqueness and globally exponential stability of weighted pseudo almost periodic solutions. An example with its numerical simulation is given to show the applicability of the proposed results. The results obtained is new and complements that found in the literature.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110607

Recommended Citation

Yazgan, Ramazan and Tunc, Cemil (2017) "On the Weighted Pseudo Almost Periodic Solutions of Nonlinear Functional Duffing Equation," Applied Mathematics & Information Sciences: Vol. 11: Iss. 6, Article 7.
DOI: http://dx.doi.org/10.18576/amis/110607
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/7