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Více informací o knize The Spectra of Differential Operators

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Anotace knihy

The stability of many physical systems depends on§spectral properties of ordinary differential§operators posed on the entire line. For numerical§purposes, one restricts the all-line spectral problem§to a finite interval spectral problem. The question§of how the two problems are related then arises. In§this work, we study principal (or generalized)§eigenvalue problems for ordinary differential§equations on the infinite line and bounded, but§large, intervals by writing them as matrix problems.§Matrix formulations allow us to prove that eigenvalue§problems on finite intervals are perturbations of the§all-line eigenvalue problem if the boundary§conditions satisfy a determinant condition. Using§this condition, we also prove the convergence of§Green's functions of an ordinary differential§operator on the infinite line and large bounded§intervals for a spectral parameter that is in the§resolvent of the operator or a simple eigenvalue of§the operator. This work may be interesting for§graduate students and researchers focused on§stability questions, spectral problems, and§scientific computations.

Parametry knihy

• Plný název: The Spectra of Differential Operators
• Podnázev: Bounded and Unbounded Domains
• Autor: Oksana Guba
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 108
• EAN: 9783639165906
• ID: 06824976
• Nakladatelství: VDM Verlag Dr. Müller
• Hmotnost: 177 g
• Rozměry: 220 × 150 × 6 mm
• Rok vydání: 2009

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