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Nonlocal conditions for differential inclusions in the space of functions of bounded variationsKeywords: Set-valued maps of bounded variation , Differential inclusion , Nonlocal initial condition , Generalized Helly selection principle , Fixed point of multivalued operators Abstract: We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type. AMS Subject Classification 34A60, 34G20, 26A45, 54C65, 28B20
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