On sampling theories and discontinuous Dirac systems with eigenparameter in the boundary conditions

DOI10.1186/1687-2770-2013-65zbMath1288.34018OpenAlexW2117952636WikidataQ59293307 ScholiaQ59293307MaRDI QIDQ2444599

Mohammed M. Tharwat

Publication date: 10 April 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-65

zbMATH Keywords

Dirac systemstransmission conditionsdiscontinuous boundary value problemseigenvalue parameter in the boundary conditions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Sampling theory in information and communication theory (94A20) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

Unnamed Item ⋮ Sampling theories of boundary value problems with several internal points of discontinuity ⋮ Computation of spectral parameter of discontinuous Dirac systems with a Gaussian multiplier ⋮ Dirac system with discontinuities at two points ⋮ Approximation of eigenvalues of boundary value problems ⋮ Sampling of vector-valued transforms associated with solutions and Green's matrix of discontinuous Dirac systems ⋮ A Modification of Hermite Sampling with a Gaussian Multiplier

Cites Work

• On analytic sampling theory
• On Lagrange-type interpolation series and analytic Kramer kernels
• Irregular sampling of bandlimited \(L^ p\)-functions
• Discontinuous boundary-value problems: expansion and sampling theorems
• AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION
• On the representation of holomorphic functions by integrals
• Sampling Integrodifferential Transforms Arising from Second Order Differential Operators
• A sampling theorem for transforms with discontinuous kernels
• Sampling of Discontinuous Dirac Systems

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