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Spectral Problems for Systems of Differential Equations y ′ + A 0 y = λ A 1 y with λ–Polynomial Boundary Conditions
Author(s) -
Tretter Christiane
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200006)214:1<129::aid-mana129>3.0.co;2-x
Subject(s) - mathematics , boundary value problem , polynomial , differential (mechanical device) , boundary (topology) , mathematical analysis , engineering , aerospace engineering
This paper deals with the spectral properties of boundary eigenvalue problems for systems of first order differential equations $y^\prime + A_0 y = \lambda A_1 y$ with boundary conditions which depend on the spectral parameter polynomially. It is not assumed that $A_1$ is injective or surjective. The main results concern the completeness minimality and Riesz basis properties of the corresponding eigenfunctions and associated functions.