Existence principles for Carathéodory differential equations in Banach spaces
The authors are introducing the notion of ``\(K\)-Carathéodory function'' in infinite dimensional Banach spaces. \(K\)-Carathéodory is stronger than Carathéodory. In finite dimensions these two notions are equivalent. Then the authors are investigating boundary value problems for ODE with \(K\)-Carathéodory right hand side.
scientific article; zbMATH DE number 482109