We study a Cauchy problem of class nonconvex second-order integro-differential inclusions and boundary value associated to semilinear evolution inclusion defined by nonlocal conditions in non-separable Banach spaces. The existence mild solutions is established under Filippov type assumptions.

We give a rigorous construction of the Dirac Sea for fermionic quantization in non-separable Hilbert spaces. These CAR-representations depend on Axiom Choice, hence are not unique, nevertheless they unitarily equivalent to classic Fock representation.

We propose a new probabilistic ID-based noninteractive key sharing scheme that has non-separable secret-key functions and a non-separable common-key function. The proposed scheme uses the calculation over modulo-P , modulo-Q and over integer ring for realizing non-separability. This proposed scheme has a large threshold against linear attack by the collusive entities. key words: ID, key sharing...