INVESTIGATION OF THE STABILITY OF THE ZERO SOLUTION OF AN AUTONOMOUS FUNCTIONAL-DIFFERENTIAL EQUATION BY THE LYAPUNOV METHOD

Authors

  • Akhmatov A.A. Navoi State University

Keywords:

Autonomous functional-differential equation; delay; stability; asymptotic stability; Lyapunov functional.

Abstract

An autonomous functional-differential equation with delay is considered. Based on a sign-definite Lyapunov functional, the conditions for the stability and asymptotic stability of the zero solution are investigated.

 

References

Хусанов Дж.Х. К конструктивной и качественной теории функци­онально-дифференциальных уравнений. Т.: ФАН. АН РУз. 2002. - 256 с.

Андреев А.С., Хусанов Д.Х. К методу функционалов Ляпунова в задаче об

устойчивости и неустойчивости // Диф. урав. - 1998. - Т. 34, N7.- С. 876-885.

Hale J.K. Theory of Functional Differential Equations. — Springer, 1977.

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Published

2025-10-31

How to Cite

Akhmatov A.A. (2025). INVESTIGATION OF THE STABILITY OF THE ZERO SOLUTION OF AN AUTONOMOUS FUNCTIONAL-DIFFERENTIAL EQUATION BY THE LYAPUNOV METHOD. Ethiopian International Multidisciplinary Research Conferences, 593–595. Retrieved from https://eijmr.org/conferences/index.php/eimrc/article/view/1569

Issue

2025: Ethiopian International Multidisciplinary Research Conferences

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Articles

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