Stability of global attractors of impulsive infinite-dimensional systems

  • O. V. Kapustyan
  • N. A. Perestyuk
  • I. V. Romanyuk

Abstract

The stability of global attractor is proved for an impulsive infinite-dimensional dynamical system. The obtained abstract results are applied to a weakly nonlinear parabolic equation whose solutions are subjected to impulsive perturbations at the times of intersection with a certain surface of the phase space.
Published
25.01.2018
How to Cite
Kapustyan, O. V., N. A. Perestyuk, and I. V. Romanyuk. “Stability of Global Attractors of impulsive infinite-Dimensional Systems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 1, Jan. 2018, pp. 29-39, http://umj.imath.kiev.ua/index.php/umj/article/view/1540.
Section
Research articles