Multiple Solutions of Vector Dirichlet Problems to Implicit Differential Equations and Inclusions in Billiard Spaces
摘要
The problem from the title will be considered separately for explicit differential inclusions with upper-Carathéodory right-hand sides and implicit differential inclusions with Marchaud right-hand sides. In the first case, several earlier results for differential equations will be generalized to a multivalued or discontinuous setting. In the second case, which is a main object of our study, quite rare multiplicity results for implicit boundary value problems will be extended.