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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/229799
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