On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition

DOI10.1002/mma.2553zbMath1255.34016OpenAlexW2017623166MaRDI QIDQ2919485

Aynur Çöl, Khanlar R. Mamedov

Publication date: 2 October 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2553

zbMATH Keywords

scattering functiondiscontinuous coefficientnonlinear spectral parameterDirac equation systemMarchenko-type equation

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (7)

Inverse scattering on the half-line for ZS-AKNS systems with integrable potentials ⋮ An examination of boundary value transmission problem with quadratic spectral parameter ⋮ Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient ⋮ Characteristic properties of scattering data of a boundary value problem ⋮ Characteristic properties of scattering data for discontinuous Schrödinger equations ⋮ Inverse spectral problem for Dirac operators by spectral data ⋮ Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions

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