Perturbation theory of multiparameter eigenvalue problems

DOI10.1016/0022-247X(88)90219-3zbMath0645.47014MaRDI QIDQ1103165

Bryan P. Rynne

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenvectorsmultiparameter systeminfluence of perturbations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Nonuniform right definiteness
• On a problem of B. D. Sleeman
• On multiparameter theory
• Multiparameter spectral theory in Hilbert space
• Erratum to ``On a problem of B. D. Sleeman
• Perturbation and bifurcation of nonsingular multiparametric eigenvalues
• Erratum: Multiparameter definiteness conditions II [Proc. Roy. Soc. Edinburgh Sect. A 93 (1982), 47-61]
• ANALYTIC PERTURBATIONS OF MULTIPARAMETER EIGENVALUE PROBLEMS
• Multiparameter definiteness conditions
• Left Definite Multiparameter Eigenvalue Problems
• An abstract multiparameter spectral theory
• Perturbation of linked eigenvalue problems
• Multiparameter definiteness conditions II

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