- Tytuł:
- On spectra of quadratic operator pencils with rank one gyroscopic linear part
- Autorzy:
-
Boyko, O.
Martynyuk, O.
Pivovarchik, V. - Powiązania:
- https://bibliotekanauki.pl/articles/255317.pdf
- Data publikacji:
- 2018
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
quadratic operator pencil
gyroscopic force
eigenvalues
algebraic multiplicity - Opis:
- The spectrum of a selfadjoint quadratic operator pencil of the form [formula] is investigated where M ≥ 0, G ≥ 0 are bounded operators and A is selfadjoint bounded below is investigated. It is shown that in the case of rank one operator G the eigenvalues of such a pencil are of two types. The eigenvalues of one of these types are independent of the operator G. Location of the eigenvalues of both types is described. Examples for the case of the Sturm-Liouville operators A are given. Keywords: q
- Źródło:
-
Opuscula Mathematica; 2018, 38, 4; 483-500
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł