The Constrained Krasnosel'skii Formula for Parabolic Differential Inclusions
Kryszewski, Wojciech · Siemianowski, Jakub
Original · EN
We consider a constrained evolution inclusions of parabolic type inkluzja-rozn involving an m-dissipative linear operator and the source term of multivalued type in a Banach space and topological properties of the solution map. We show a relation between the constrained fixed point index of the Krasnosel'skii--Poincaré operator of translation along trajectories associated with inkluzja-rozn and the appropriately defined constrained degree of A + F≤ 0, · of the right-hand side in inkluzja-rozn. Our results extend those of cw and gab-krysz.
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