Pencils of waveguide type and related extremal problems
โ Scribed by Yu. Sh. Abramov
- Publisher
- Springer US
- Year
- 1993
- Tongue
- English
- Weight
- 689 KB
- Volume
- 64
- Category
- Article
- ISSN
- 1573-8795
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๐ SIMILAR VOLUMES
## Abstract The paper introduces a new class of two parameter nonโoverdamped operator pencils arising from evolution equations. We investigate spectral properties, including variational principles for โinteriorโ points of the spectrum. Examples leading to pencils of the new class are given. (ยฉ 2006
We consider extremal problems 'of Tur~ type' for r-uniform ordered hypergraphs, where multiple oriented edges are permitted up to multiplicity q. With any such '(r, q)-graph' G" we associate an r-linear form whose maximum over the standard (n -1)-simplex in R" is called the (graph-) density g(G ") o