Eigenfunction expansions associated with a two-parameter system of differential equations

DOI10.1017/S0308210500010465zbMath0403.34019OpenAlexW2152836241MaRDI QIDQ4188093

Melvin Faierman

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1017/s0308210500010465

zbMATH Keywords

Orthonormal BasisHilbert SpaceEigenfunction ExpansionsSturm-Liouville SystemsMultiparameter Sturm-Liouville ProblemTwo-Parameter System of Differential Equations

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Ordinary differential operators (34L99)

Related Items

Uniform convergence of multiparameter eigenfunction expansions, Regularity of solutions of an elliptic boundary value problem i n a rectangle, EXPANSIONS IN EIGENFUNCTIONS OF A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS. II, An eigenfunction expansion associated with a two-parameter system of differential equations. III, A two-parameter eigenvalue problem involving complex potentials, An eigenfunction expansion associated with a two-parameter system of differential equations. I, An eigenfunction expansion associated with a two-parameter system of differential equations. II

Cites Work

• Linear and quasilinear elliptic equations
• An oscillation theorem for a one-parameter ordinary differential equation of the second order
• A multi-parameter eigenvalue problem
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