On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions

DOI10.1186/s13661-016-0639-yzbMath1342.34027arXiv1409.3732OpenAlexW2269612198WikidataQ59462030 ScholiaQ59462030MaRDI QIDQ737152

Yalçın Güldü

Publication date: 8 August 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3732

zbMATH Keywords

eigenvaluesDirac operatoreigenfunctionsWeyl functiontransmission conditionsgreen's function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

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Conformable fractional dynamic Dirac system ⋮ Unnamed Item ⋮ Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity ⋮ Uniqueness theorems for the Dirac operator with eigenparameter boundary conditions and transmission conditions ⋮ Spectral expansion for the singular Dirac system with impulsive conditions ⋮ Analytic Expressions of the Solutions of Advection-Diffusion Problems in One Dimension with Discontinuous Coefficients ⋮ Titchmarsh-Weyl theory for Dirac systems with transmission conditions

Cites Work

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• Dissipative Sturm-Liouville operators with transmission conditions
• A uniqueness theorem for Bessel operator from interior spectral data
• Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions
• Sturm-Liouville problems with eigendependent boundary and transmissions conditions
• On discontinuous Sturm-Liouville problems with transmission conditions
• Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter.
• Singular Dirac systems and Sturm-Liouville problems nonlinear in the spectral parameter
• Discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary and transmissions conditions
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• Fundamental solutions and eigenvalues of a boundary-value problem with transmission conditions
• On a boundary value problem with a spectral parameter in the boundary conditions
• Inverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuities
• Sturm-Liouville problems with discontinuities at two points
• Uniqueness theorems for differential pencils with eigenparameter boundary conditions and transmission conditions
• Asymptotic behavior of a differential operator with discontinuities at two points
• Discontinuous inverse eigenvalue problems
• Inverse problems for impulsive Sturm–Liouville operator with spectral parameter linearly contained in boundary conditions
• A uniqueness proof for discontinuous inverse Sturm-Liouville problems with symmetric potentials
• Completeness of Root Functions for Thermal Conduction in a Strip with Piecewise Continuous Coefficients
• Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• On the Eigenvalue Accumulation of Sturm-Liouville Problems Depending Nonlinearly on the Spectral Parameter
• Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
• Integral transforms connected with discontinuous boundary value problems
• Spectral problem for diffusion operator
• Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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