Shkliar T.B.

Global Attractor of Nonautonomous Evolution Inclusion of Reaction-Diffusion Type

The present paper considers the nonautonomous evolution inclusion of reaction-diffucion type, whose right part is majorized by continuous functions of step growth, for which additional conditions of translation compactness are imposed. We prove the existence and study the properties of the global attractor of the family of multivalued processes generated by solutions of the inclusion. Relying on the solutions of nonautonomous inclusion with the right part of power growth, we construct the family of multivalued processes.