New Conditions That Guarantee Uniform Asymptotically Stable and Absolute Stability of Singularly Perturbed Systems of Certain Class of Nonlinear Differential Equations

Main Article Content

Ebiendele Peter
Asuelinmen Osoria

Abstract

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.

Keywords:
Uniform asymptotical stable, absolute stability, singularly perturbed, differential equations

Article Details

How to Cite
Peter, E., & Osoria, A. (2019). New Conditions That Guarantee Uniform Asymptotically Stable and Absolute Stability of Singularly Perturbed Systems of Certain Class of Nonlinear Differential Equations. Journal of Advances in Mathematics and Computer Science, 32(2), 1-12. https://doi.org/10.9734/jamcs/2019/v32i230142
Section
Original Research Article

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