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

• Published in: Advances in difference equations Vol. 2011; no. 1; pp. 1 - 10
• Main Authors: Agarwal, Ravi, Boucherif, Abdelkader
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 24.06.2011; Springer Nature B.V; BioMed Central Ltd; SpringerOpen
• Subjects: Analysis; Classification; Difference and Functional Equations; Difference equations; Differential inclusion; Fixed point of multivalued operators; Functional Analysis; Generalized Helly selection principle; Inclusions; Initial conditions; Integrals; Mathematics; Mathematics and Statistics; Nonlocal initial condition; Ordinary Differential Equations; Partial Differential Equations; Set-valued maps of bounded variation; Set-valued maps of bounded variation; Generalized Helly selection principle; Fixed point of multivalued operators; Differential inclusion; Nonlocal initial condition

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