Classification of eigentuples for uniformly elliptic multiparameter problems

DOI10.1016/0022-247X(89)90243-6zbMath0678.47009MaRDI QIDQ1124091

Patrick J. Browne, Paul A. Binding

Publication date: 1989

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

zbMATH Keywords

uniform ellipticityself-adjoint operators in Hilbert spacesalgebraic multiplicities of eigenvaluesbounds for the numbers of eigenvaluestransitions between real and non-real eigenvaluesuniform left definiteness

Mathematics Subject Classification ID

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

Related Items (1)

On a problem of R. G. D. Richardson

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of index multiparametric eigenvalues
• Abstract oscillation theorems for multiparameter eigenvalue problems
• Abstracts to forthcoming papers
• Indicial equivalents of multiparameter definiteness conditions in finite dimensions
• Elliptic multiparameter eigenvalue problems
• Multiparameter root vectors
• AN OSCILLATION THEOREM FOR A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Multiparameter definiteness conditions
• Left Definite Multiparameter Eigenvalue Problems
• Sturm–Liouville problems with non-separated eigenvalue dependent boundary conditions
• Applications of two parameter spectral theory to symmetric generalised eigenvalue problems

This page was built for publication: Classification of eigentuples for uniformly elliptic multiparameter problems