Uniform attractors of discontinuous semidynamical systems

• Autores: E. M. Bonotto, J.C.M. Ferreira
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 1, 2014, págs. 47-59
• Idioma: inglés
• DOI: 10.1007/s13348-012-0078-8
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• Resumen

  • In the present paper, we define the concept of uniform attractor for semidynamical systems subject to variable impulses. We characterize the region of uniform attraction for compact sets and we show an asymptotic stability result for impulsive systems. Also, we present a result of uniform attractor by using Lyapunov functionals. We finish the paper by presenting an application for an impulsive nonlinear autonomous system.