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Journal of Environmental Accounting and Management 8(2) (2019) 239--249 | DOI:10.5890/JAND.2019.06.007

Emel Biçer$^{1}$, Cemil Tunç$^{2}$

$^{1}$ Department of Mathematics, Faculty of Arts and Sciences, Bingol University, 12000 Bingol, Turkey

$^{2}$ Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Van, Turkey

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Abstract

We pay our attention to a non-linear differential equation of first order with multiple two variable advanced arguments. We find sufficient conditions satisfying the convergence (C) and exponential convergence (EC) of solutions of the considered non-linear advanced differential equation (NADE) by contraction mapping principle (CMP). The obtained results improve and extend the results can be found in the relevant literature from a case of linear advanced differential equation (LADE) of first order to a case of (NADE) of first order with multiple two variable advanced arguments. We give examples for illustrations by applying MATLAB-Simulink. It is also clearly shown the behaviors of the orbits for the special cases of the considered (NADE).

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