On discontinuous implicit and explicit abstract impulsive boundary value problems
Here, a general boundary value problem is studied for abstract impulsive differential equations. The differential equation is in implicit form and also functional, including, for example, implicit integro-differential equations. The boundary conditions are in a very general form (implicit and functional), covering initial and periodic boundary conditions and some feedback properties. No continuity conditions are imposed on the nonlinearities involved in the problems. The authors give existence and approximation results and, under additional conditions, a constructive existence result. Examples and particular cases are considered.
scientific article; zbMATH DE number 1512503