Limit Properties of a Sequence of Lyapunov’s IntegralsDetermined by a System of High-Dimensional Differential Equations

I.D. Ilinykh

doi:10.1134/s1055134426010037

February 1, 2026Siberian Advances in Mathematics

Limit Properties of a Sequence of Lyapunov’s IntegralsDetermined by a System of High-Dimensional Differential Equations

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Key Points

This research aims to explore the limit properties of Lyapunov's integrals linked to high-dimensional differential equations.
Analyzed a delay differential equation alongside a sequence of ordinary differential equations.
Established connections between regions of asymptotic stability and zero solutions of the systems.
Identified specific limit properties of the Lyapunov's integrals.
Demonstrated correlations between asymptotic stability and zero solutions.

Implication

Investigates limit properties of Lyapunov's integrals in high-dimensional systems, suggesting stability insights.

Abstract

We consider a delay differential equation together with a sequence of high-dimensional systems of ordinary differential equations. We establish a connection between the regions of asymptotic stability of their zero solutions and study limit properties of the sequence of Lyapunov’s integrals.

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Cite This Study

I.D. Ilinykh (2026) studied this question.

synapsesocial.com/papers/6a323d23d50b63ecad206e84 https://doi.org/10.1134/s1055134426010037

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Limit Properties of a Sequence of Lyapunov’s IntegralsDetermined by a System of High-Dimensional Differential Equations

Key Points

Implication

Abstract

Discussion

Cite This Study

Limit Properties of a Sequence of Lyapunov’s IntegralsDetermined by a System of High-Dimensional Differential Equations

Key Points

Implication

Abstract

Discussion

Cite This Study

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