Full and partial-range eigenfunction expansions for a multiparameter system of differential equations

DOI10.1080/00036818808839746zbMath0641.34023OpenAlexW2068113697WikidataQ58307466 ScholiaQ58307466MaRDI QIDQ3782060

G. F. Roach, Melvin Faierman

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839746

zbMATH Keywords

eigenvaluesinner product spacesmultiparameter Sturm-Liouville problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Ordinary differential operators (34L99)

Cites Work

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• Eigenfunction expansions associated with a multiparameter system of differential equations
• Linear elliptic eigenvalue problems involving an indefinite weight
• Indefinite Sturm-Liouville problems and half-range completeness
• Full- and partial-range eigenfunction expansions for Sturm-Liouville problems with indefinite weights
• Abstracts to forthcoming papers
• Uniqueness theorems for second order elliptic differential equations
• EXPANSIONS IN EIGENFUNCTIONS OF A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS
• EXPANSIONS IN EIGENFUNCTIONS OF A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS. II
• 11.— A Left Definite Multiparameter Eigenvalue Problem in Ordinary Differential Equations

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