On the asymptotic stability behaviours of solutions of nonlinear differential equations with multiple variable advanced arguments. (English) Zbl 1418.34105
Summary: We pay our attention to a nonlinear 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 nonlinear 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).
MSC:
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
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