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On maximum principles for M-operators

✍ Scribed by Anke Kalauch


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
166 KB
Volume
371
Category
Article
ISSN
0024-3795

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✦ 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.


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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