On maximum principles for M-operators
β Scribed by Anke Kalauch
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 166 KB
- Volume
- 371
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
β¦ Synopsis
For M-matrices a condition to satisfy the "maximum principle for inverse column entries" is known. We generalize this result (concerning a more general maximum principle) for M-operators on R n , ordered by some cone, as well as, to a certain extent, for M-operators on infinite-dimensional ordered normed spaces.
π SIMILAR VOLUMES
In this paper some characterizations for the validity of both maximum and weak Ž .< < py2 comparison principles for the operator L L u s y⬠u q a x u u, under Dirichlet conditions, are given. Some comparison and nonresonance results for Ž . sublinear operators of the form y⬠u q f x, u are also stu