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A Filippov type existence theorem for infinite horizon operational differential inclusions. (English) Zbl 1026.34070

Summary: We prove a Filippov-type existence theorem for mild solutions to infinite horizon semilinear differential inclusions in infinite-dimensional spaces by using an appropriate norm on the space of selections of the multifunctions and a contraction principle for set-valued mappings.

MSC:

34G25 Evolution inclusions
34A60 Ordinary differential inclusions
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