Differential-Functional Inequalities for Bounded Vector-Valued Functions

  • Gerd Herzog

    Karlsruher Institut für Technologie (KIT), Germany

Abstract

For the space ordered by a cone and some functions and we consider differential-functional inequalities of the type

and conclude under suitable conditions on and . The result can be applied to obtain existence and uniqueness results for differential-functional boundary value problems of the form

with bounded.

Cite this article

Gerd Herzog, Differential-Functional Inequalities for Bounded Vector-Valued Functions. Z. Anal. Anwend. 20 (2001), no. 4, pp. 1055–1063

DOI 10.4171/ZAA/1059