M. O. Perestyuk, P. O. Kasyanov, and N. V. Zadoyanchuk

On Faedo-Galerkin Method for Evolution Inclusions with $W_{\lambda_0}$-Pseudomonotone Maps

abstract:
We consider differential-operator inclusions with $w_{\lambda_0}$-pseudomonotone multi-valued maps. The problem of the investigation of the periodic solutions and of the solutions for initial time value problem has been solved by Faedo-Galerkin method. The important a priory estimates have been obtained. Some topological descriptions of the resolvent operators have been made.

Mathematics Subject Classification: 35B10, 37L65, 46B15

Key words and phrases: Differential-operator inclusion, $w_{\lambda_0}$-pseudomonotone multi-valued map, Faedo-Galerkin method, periodic solution, initial problem