Differential equations with non-absolutely integrable functions in ordered Banach spaces
The authors consider an initial values problem for an ordinary differential equation involving functions which are Henstock variationally integrable with values in an ordered Banach space \(E\). They prove the existence of smallest and greatest solutions in a certain subset of the space of \(E\)-valued variationally Henstock integrable functions. Illustrative examples are presented.
scientific article; zbMATH DE number 5696637
scientific article