Large time behavior and Lyapunov functionals for a nonlocal differential equation
Danielle Hilhorst (LM-Orsay), Philippe Lauren\c{c}ot (IMT), Thanh-Nam, Nguyen
TL;DR
This paper introduces a novel approach using infinitely many Lyapunov functionals to analyze the large time behavior of a non-local differential equation, extending previous work in the field.
Contribution
It presents a new method based on Lyapunov functionals to study long-term dynamics of non-local differential equations, broadening analytical tools.
Findings
Existence of infinitely many Lyapunov functionals.
Extended analysis of large time behavior.
New insights into non-local differential equations.
Abstract
A new approach is used to describe the large time behavior of the non-local differential equation initially studied in [3]. Our approach is based upon the existence of infinitely many Lyapunov functionals and allows us to extend the analysis performed in [3].
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations · Control and Stability of Dynamical Systems