Second Order Dynamic Inclusions

where F : T × R → CK(R) is a set-valued map and g : T × T → R is a single-valued continuous map (CK(R) denotes the set of nonempty, closed, and convex subsets of R). In Section 3 some general existence principles for inclusions (1.1) are derived by using fixed point theory discussed in [1]. In Section 4 we present a specific function g such that y is a solution of (1.1) if and only if y is a solution of the second order dynamic inclusion