Inclusion statements for operator equations by a continuity principle |
| |
Authors: | Johann Schröder |
| |
Institution: | (1) Mathematisches Institut, Universität Köln, Weyertal 86-90, D-5000 Köln 41, Bundesrepublik Deutschland |
| |
Abstract: | The paper is concerned with Range-Domain Implications MvCvK, where M is a given operator and C,K denote given sets. Sufficient conditions are derived by a very general continuity principle. Various special cases are considered such as inverse-positivity, MvMwvw, and a generalization H(,,])MvH(,,]) v, where Mu=H(u,u) and ,] denotes an order interval. These results are applied to differential operators related to boundary or initial value problems. The goal is to furnish a simple uniform approach, to explain its application, and to provide a kind of survey on what problems have been treated in this way. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|