Robust Stability of Global Attractors for Evolutionary Systems without Uniqueness

Oleksiy V. Kapustyan, Valentyn V. Sobchuk, Taras V. Yusypiv, Andriy V. Pankov

Анотація


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.


Ключові слова


global attractor; multi-valued semiprocess; local input-to-state stability; reaction-diffusion equation

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DOI: http://dx.doi.org/10.15421/142208

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