Geodesic
Sturm-Liouville Systems Are Riesz-Spectral Systems
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 4, pp. 481-484 Cet article a éte moissonné depuis la source Library of Science

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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.
Keywords: Sturm-Liouville system, Riesz-spectral system, infinite-dimensional state-space system, Co-semigroup
Mots-clés : matematyka 
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     author = {Delattre, C. and Dochain, D. and Winkin, J.},
     title = {Sturm-Liouville {Systems} {Are} {Riesz-Spectral} {Systems}},
     journal = {International Journal of Applied Mathematics and Computer Science},
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     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_4_a3/}
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Delattre, C.; Dochain, D.; Winkin, J. Sturm-Liouville Systems Are Riesz-Spectral Systems. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 4, pp. 481-484. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_4_a3/