A C-infinity density theorem for differential inclusions with Lipschitz continuous right-hand sides

作者：Rieger Janosch^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(11): 4282-4287.

DOI：10.1016/j.na.2010.02.004

• Differential inclusions

By definition, solutions of differential inclusions are absolutely continuous functions with L-1 derivatives. We prove that at least for a class of Lipschitz continuous right-hand sides the C-infinity-solutions are dense in the set of all solutions with respect to the supremum norm.

• 出版日期2010-6-1