Robust Stability of Global Attractors for Evolutionary Systems without Uniqueness

Robust Stability of Global Attractors for Evolutionary Systems without Uniqueness

We establish the local input-to-state stability of multi-valued evolutionary systems with bounded disturbances with respect to the global attractor of the respective undisturbed system. We apply obtained results to disturbed reaction-diffusion equation.

Bibliographic Details
Main Authors: Oleksiy V. Kapustyan, Valentyn V. Sobchuk, Taras V. Yusypiv, Andriy V. Pankov
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2022-07-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
global attractor
multi-valued semiprocess
local input-to-state stability
reaction-diffusion equation
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/173

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