The paper deals with the existence and invariance of uniform attractors of impulseperturbed reaction-diffusion system. Moments of impulsive perturbation are not fixed and are determined by the getting of trajectory into a given subset M of the phase space. At the moment of getting, the phase variable undergoes a fixed increment. It is proved that such a problem generates impulsive dynamical system that has the uniform attractor Θ, and the set Θ\ M is invariant with respect to the impulsive semiflow.
UNIFORM ATTRACTOR OF IMPULSE-PERTURBED REACTION-DIFFUSION SYSTEM
Kapustyan O.;Kapustian O.
;Rubino B.
2023-01-01
Abstract
The paper deals with the existence and invariance of uniform attractors of impulseperturbed reaction-diffusion system. Moments of impulsive perturbation are not fixed and are determined by the getting of trajectory into a given subset M of the phase space. At the moment of getting, the phase variable undergoes a fixed increment. It is proved that such a problem generates impulsive dynamical system that has the uniform attractor Θ, and the set Θ\ M is invariant with respect to the impulsive semiflow.File in questo prodotto:
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