Eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with an eigenparameter in the boundary condition

DOI10.1216/RMJ-2013-43-6-1871zbMath1319.34150MaRDI QIDQ2439533

Yanyan Li

Publication date: 14 March 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1393336660

zbMATH Keywords

two-point boundary value problemstransmission conditiondiscontinuous boundary value problemsasymptotic of eigenvalues and eigenfunctions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

Eigenvalue problem associated with the fourth order differential-operator equation ⋮ On Basis Property of Root Functions for a Class of the Second Order Differential Operators

Cites Work

• Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary conditions
• On a boundary value problem with a spectral parameter in the boundary conditions
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
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