An existence theorem for some nonconvex hyperbolic differential inclusions. (English) Zbl 1084.34508

Cernea, Aurelian

Mathematica 45(68), No. 2, 121-126 (2003).

Summary: A version of Filippov’s theorem concerning the existence of solutions to Darboux problems for hyperbolic differential inclusions is obtained using the contraction principle in the space of selections of the multifunction instead of the space of solutions.

MSC:

34A60

Ordinary differential inclusions

Keywords:

set-valued map; hyperbolic differential inclusion; contraction principle