Topological structure of solution sets: current results

We shall present current results concerning Browder–Guptatype theorems, Banach principle for multivalued mappings and the inverse limit method including its applications to ordinary differential equations and differential inclusions. Consequently, Aronszajn’s-type topological characterization of the set of solutions for differential equations and inclusions is considered. Note that some new results of the above mentioned type will be discussed. AMS Subject Classification. 59B99, 54C60, 47H10, 54H25, 55M20, 34A60, 46A04, 55M25

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