Eigenvalue problems for Sturm-Liouville equations with transmission conditions

DOI10.1007/BF02916718zbMath1073.34096OpenAlexW1980843314MaRDI QIDQ1769182

Xianqiang Yang

Publication date: 21 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02916718

zbMATH Keywords

Sturm-Liouville eigenvalue problemtransmission conditionseigenparameter-depent boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (16)

Spectral properties of an impulsive Sturm-Liouville operator ⋮ The Parseval identity for \(q\)-Sturm-Liouville problems with transmission conditions ⋮ Investigation of spectrum and scattering function of impulsive matrix difference operators ⋮ Dissipative Sturm-Liouville operators with transmission conditions ⋮ Discrete impulsive Sturm-Liouville equation with hyperbolic eigenparameter ⋮ Spectrum and scattering function of the impulsive discrete Dirac systems ⋮ Sturm-Liouville problems with discontinuities at two points ⋮ A Dirac system with transmission condition and eigenparameter in boundary condition ⋮ Scattering theory of impulsive Sturm-Liouville equation in quantum calculus ⋮ Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulation ⋮ Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: eigenvalue asymptotics ⋮ Spectral properties of discontinuous Sturm-Liouville problems with a finite number of transmission conditions ⋮ Three-spectra inverse problems for Sturm-Liouville problems with transmission conditions ⋮ Unnamed Item ⋮ Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions ⋮ Scattering theory of impulsive Sturm-Liouville equations

Cites Work

• On the spectral problem from the theory of the parabolic-hyperbolic heat equation
• Distribution of eigenvalues for the discontinuous boundary-value problem with functional-manypoint conditions
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• Coerciveness of the discontinuous initial-boundary value problem for parabolic equations
• Completeness of Root Functions for Thermal Conduction in a Strip with Piecewise Continuous Coefficients
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Abel Basis of Root Functions of Regular Boundary Value Problems
• Problems for Ordinary Differential Equations with Transmission Conditions
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