Multiple Solutions of Vector Dirichlet Problems to Implicit Differential Equations and Inclusions in Billiard Spaces

Key Points

• The study aims to extend existing results for vector Dirichlet problems involving implicit differential equations and inclusions.
• Consider explicit differential inclusions with upper-Carathéodory right-hand sides.
• Examine implicit differential inclusions with Marchaud right-hand sides.
• Generalize earlier results to multivalued or discontinuous settings.
• Extend multiplicity results for implicit boundary value problems.
• Demonstrated the existence of multiple solutions for vector Dirichlet problems.
• Extended results for complex boundary value problems in a rare multivalued context.