Global attractor for impulsive reaction-diffusion equation

• Published in: Нелінійні коливання
• Date: 2005
• Main Authors: Iovane, G., Kapustyan, O.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178013
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Global attractor for impulsive reaction-diffusion equation / G. Iovane, O.V. Kapustyan // Нелінійні коливання. — 2005. — Т. 8, № 3. — С. 319-328. — Бібліогр.: 10 назв. — англ.

In this paper we consider a reaction-diffusion equation with nonsmooth nonlinearity, whose solutions
 have impulse effects at fixed moments of time. We show how this object generates a nonautonomous multivalued dynamical system and prove the existence of a compact semiinvariant global attrac...