Uniform asymptotic integration of a family of linear differential systems
| Autor(en): | Behncke, H Remling, C |
Stichwörter: | ABSOLUTE CONTINUITY; asymptotic integration; EQUATIONS; HAMILTONIANS; Levinson's theorem; Mathematics; VONNEUMANN WIGNER POTENTIALS | Erscheinungsdatum: | 2001 | Herausgeber: | WILEY-V C H VERLAG GMBH | Journal: | MATHEMATISCHE NACHRICHTEN | Volumen: | 225 | Startseite: | 5 | Seitenende: | 17 | Zusammenfassung: | Consider a family of linear differential systems y' = A(x,z)y, depending on a parameter z. Assume, as in Levinson's Theorem, that A = Lambda R with Lambda diagonal and R integrable. We discuss the problem of asymptotically solving this system with uniform tin z) control on the error terms. Questions of this type occur in the spectral theory of differential operators. |
ISSN: | 0025584X | DOI: | 10.1002/1522-2616(200105)225:1<5::AID-MANA5>3.3.CO;2-B |
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