Aurelian Cernea: On the solutions for a second-order integro-differential inclusion of Sturm-Liouville type, 399-408

Abstract:

We consider a Cauchy problem associated to a second order integro-differential inclusion of Sturm-Liouville type in a separable Banach space and we establish some Filippov type existence results.

Key Words: differential inclusion, measurable selection, decomposable set.

2010 Mathematics Subject Classification: Primary 34A60, Secondary 34B15.