- Tytuł:
- The basis property of eigenfunctions in the problem of a nonhomogeneous damped string
- Autorzy:
- Rzepnicki, Ł.
- Powiązania:
- https://bibliotekanauki.pl/articles/254937.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
nonhomogeneous damped string
Hilbert space
Riesz basis
modulus of continuity
basis with parentheses
string equation - Opis:
- The equation which describes the small vibrations of a nonhomogeneous damped string can be rewritten as an abstract Cauchy problem for the densely defined closed operator iA. We prove that the set of root vectors of the operator A forms a basis of subspaces in a certain Hilbert space H. Furthermore, we give the rate of convergence for the decomposition with respect to this basis. In the second main result we show that with additional assumptions the set of root vectors of the operator A is a Riesz basis for H.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 1; 141-165
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł