Nonlocal conditions for differential inclusions in the space of functions of bounded variations

Abstract

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

Keywords

• Set-valued maps of bounded variation
• Differential inclusion
• Nonlocal initial condition
• Generalized Helly selection principle
• Fixed point of multivalued operators