New Conditions That Guarantee Uniform Asymptotically Stable and Absolute Stability of Singularly Perturbed Systems of Certain Class of Nonlinear Differential Equations
Ebiendele Peter, Asuelinmen Osoria
Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 10 May 2019
10.9734/jamcs/2019/v32i230142Abstract
The objectives of this paper is to investigate singularly perturbed system of the fourth order differential equations of the type, to establish the necessary and sufficient new conditions that guarantee, uniform asymptotically stable, and absolute stability of the system. The Liapunov’s functions were the mathematical model used to establish the main results of this study. The study was motivated by some authors in the literature, Grujic LJ.T, and Hoppensteadt, F., and the results obtained in this study improves upon their results to the case where more than two arguments was established.
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