A new result on the global exponential stability of nonlinear neutral volterra integro-differential equation with variable lags

Volume 5, Issue 1, pp 29--43 http://dx.doi.org/10.22436/mns.05.01.04
Publication Date: April 06, 2020 Submission Date: February 18, 2018 Revision Date: December 02, 2019 Accteptance Date: December 06, 2019

Authors

Yener Altun - Ercis Management Faculty, Department of Business Administration, Yuzuncu Yil University, 65080, Van, Turkey.


Abstract

In this study, the global exponential stability (GES) of the zero solution of a nonlinear neutral volterra integro-differential equation (NVIDE) with variable lags has been investigated. Based on the Lyapunov functional approach, a new stability criterion was derived for global exponential stability criterions of the considered equation. An example with numeric simulation has been given to demonstrate the applicability and accuracy of the obtained result by MATLAB Simulink.


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ISRP Style

Yener Altun, A new result on the global exponential stability of nonlinear neutral volterra integro-differential equation with variable lags, Mathematics in Natural Science, 5 (2019), no. 1, 29--43

AMA Style

Altun Yener, A new result on the global exponential stability of nonlinear neutral volterra integro-differential equation with variable lags. Math. Nat. Sci. (2019); 5(1):29--43

Chicago/Turabian Style

Altun, Yener. "A new result on the global exponential stability of nonlinear neutral volterra integro-differential equation with variable lags." Mathematics in Natural Science, 5, no. 1 (2019): 29--43


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