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Stability w.r.t. Disturbances for the Global Attractor of Multi-Valued Semiflow Generated by Nonlinear Wave Equation
2023
Journal:  
Journal of Optimization, Differential Equations, and their Applications
Author:  
DOI:  
10.15421/142306
Abstract:

The paper investigates the issue of stability with respect to external disturbances for the global attractor of the wave equation under conditions that do not ensure the uniqueness of the solution to the initial problem. Under general conditions for nonlinear terms, it is proved that the global attractor of the undisturbed problem is locally stable in the sense of ISS and has the AG property with respect to disturbances.

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Journal of Optimization, Differential Equations, and their Applications

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 59
Details
Journal of Optimization, Differential Equations, and their Applications