Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued wλ0-pseudomonotone maps

We consider differential-operator inclusions with wλ0-pseudomonotone multi-valued maps. The problem of investigation of solutions of Cauchy and periodic problems is solved by Faedo–Galerkin (FG) method. Important a priori estimates are obtained. Some topological descriptions of the resolvent operators are made.