A two-parameter eigenvalue problem involving complex potentials

DOI10.1017/S0308210500031449zbMath0721.34097MaRDI QIDQ5752897

Melvin Faierman

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

complex potentialcompleteness of eigenfunctionstwo-parameter system of ordinary differential equations of the second order

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05) Ordinary differential equations in the complex domain (34M99)

Cites Work

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• Eigenfunction expansions associated with a multiparameter system of differential equations
• The completeness and expansion theorems associated with the multi- parameter eigenvalue problem in ordinary differential equations
• A multi-parameter eigenvalue problem
• Abstracts to forthcoming papers
• On the completeness of eigenvectors of right definite multiparameter problems
• Regularity of solutions of an elliptic boundary value problem i n a rectangle
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• On the Distribution of the Eigenvalues of a Two-Parameter System of Ordinary Differential Equations of the Second Order
• Eigenfunction expansions associated with a two-parameter system of differential equations
• Multiparameter spectral theory

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