A Scorza-Dragoni approach to Dirichlet problem with an upper-Carathéodory right-hand side

Martina Pavlačková

Abstract


In this paper, the existence and localization result will be proven for multivalued vector Dirichlet problem
with an upper-Carathéodory right-hand side by using bound sets approach.
Since Scorza-Dragoni type technique will be furthermore applied, the conditions for bounding functions can be required directly on the boundaries of bound sets and not at some vicinity of them.

Keywords


Dirichlet problem; upper-Carathéodory differential inclusions; localization of a solution; strictly localized bounding functions; Scorza-Dragoni technique

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