Two singular point linear Hamiltonian systems with an interface condition
Autor(en): | Behncke, Horst Hinton, Don |
Stichwörter: | ASYMPTOTIC INTEGRATION; BOUNDARY-VALUE-PROBLEMS; COEFFICIENTS; DEFICIENCY-INDEXES; DIFFERENTIAL-OPERATORS; Green's functions; Interface condition; Mathematics; PAIR; SELF-ADJOINTNESS; spectral theory; SPECTRAL-ANALYSIS; Titchmarsh-Weyl m-functions | Erscheinungsdatum: | 2010 | Herausgeber: | WILEY-V C H VERLAG GMBH | Journal: | MATHEMATISCHE NACHRICHTEN | Volumen: | 283 | Ausgabe: | 3 | Startseite: | 365 | Seitenende: | 378 | Zusammenfassung: | We consider the problem of a linear Hamiltionian system on R with an interface condition which we take to be at x = 0. Assuming limit point conditions at /-infinity, we prove the problem is uniquely solvable, and a resolvent is constructed Our method of solution is to map the problem onto a half line problem of double size and apply the theory of half line problems. A Tachmarsh-Weyl function is associated with the problem. and a unitary transform is constructed which maps the differential operator onto the multiplication operator in the Hilbert space determined by the spectral function rho (C) 2010 WILEY-VCH Verlag GmbH & Co KGaA. Weinheim |
ISSN: | 0025584X | DOI: | 10.1002/mana.200910032 |
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geprüft am 13.05.2024