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Spectral properties of general self-adjoint, even order differential operators
Autoři | |
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Rok publikování | 2000 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Mathematica Slovaca |
Fakulta / Pracoviště MU | |
Citace | |
Obor | Obecná matematika |
Klíčová slova | (non)oscillatory equation; reciprocity principle; linear Hamiltonian system; property BD; principal solution |
Popis |
Necessary and sufficient condition for discreteness and boundedness below of the spectrum of the full-term singular differential operator
is established. This condition is based on a recently proved generalized reciprocity principle for l and on the relationship between spectral properties of l and oscillation of a certain associated (2n-2)-order differential equation. An application to ''Euler-type'' fourth order operator is given. |
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