Measure differential equations with a general nonlocal condition
The paper is concerned with the existence of regulated solutions for measure differential equations with a nonlocal condition involving a set-valued map. The first result, imposing Kurzweil-Stieltjes integrability together with a powerful convergence result, is available in finite dimensional spaces. The second one, assuming Lebesgue-Stieltjes integrability together with conditions expressed in terms of Hausdorff measure of non-compactness, works in general Banach spaces.
scientific article; zbMATH DE number 7903785
scientific article