Sturm-Liouville systems are Riesz-spectral systems

• Autorzy: Cédric Delattre , Denis Dochain , Joseph Winkin
• Języki publikacji: EN

Abstrakty

EN

The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L^2(a,b) and the infinitesimal generator of a C_0-semigroup of bounded linear operators.

Słowa kluczowe

EN

C_0-semigroup   Riesz-spectral system   Sturm-Liouville system   infinite-dimensional state-space system  

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 4
• Strony: 481-484

Daty

wydano

2003

otrzymano

2003-01-15

poprawiono

2003-05-21

(nieznana)

2003-07-13

Twórcy

autor

Cédric Delattre

• CESAME, Université Catholique de Louvain, 4, Avenue G. Lemaître, B-1348 Louvain-la-Neuve, Belgium

autor

Denis Dochain

• CESAME, Université Catholique de Louvain, 4, Avenue G. Lemaître, B-1348 Louvain-la-Neuve, Belgium

autor

Joseph Winkin

• Department of Mathematics, University of Namur (FUNDP), 8, Rempart de la Vierge, B-5000 Namur, Belgium

Bibliografia

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