We consider differential-operator equations with W λ 0 -pseudomonotone operators. The problem of studying periodic solutions by the Faedo-Galerkin method is considered. Important a priori estimates are obtained. A topological description of resolvent operators is given.
MSC: 35B10 37L65 46B15Keywords: Differential-operator inclusion w λ0 -Pseudomonotone multi-valued map Faedo-Galerkin method Periodic solution Cauchy problemWe consider differential-operator inclusions with w λ 0 -pseudomonotone multi-valued maps. The problem of investigation of solutions of Cauchy and periodic problems is solved by FaedoGalerkin (FG) method. Important a priori estimates are obtained. Some topological descriptions of the resolvent operators are made.Crown
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