Sturm-Liouville Systems Are Riesz-Spectral Systems

• Autorzy: Delattre C. , Dochain D. , Winkin J.
• 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 L²(a,b) and the infinitesimal generator of a C0-semigroup of bounded linear operators.

Słowa kluczowe

EN

Sturm-Liouville system; Riesz-spectral system; infinite-dimensional state-space system; Co-semigroup

PL

system Sturm-Liouville; system spektralny Riesza; system nieskończenie wymiarowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 4
• Strony: 481--484
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Delattre C.

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

autor

Dochain D.

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

autor

Winkin J.

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

Bibliografia

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• [15] Zhidkov P.E. (2000): Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type. —Sbornik Mathematics, Vol. 191, Nos. 3–4, pp. 359–368.