A majorant criterion for the total preservation of global solvability of controlled functional operator equation
The author formulates a nonlinear controlled functional operator equation in a Banach ideal space. The unique solvability proved by applied techniques from nonlinear functional analysis. Sufficient conditions for the global solvability of all controls from a pointwise bounded set are given. It should be noted here that the paper includes some examples which are of particular value, because the corresponding controlled value problems are reduced step by step to the considered equation for which one can obtain results applying classical techniques.
scientific article; zbMATH DE number 5975524