Scattering properties of eigenparameter-dependent impulsive Sturm-Liouville equations

DOI10.1007/s40840-019-00834-5zbMath1437.34085OpenAlexW2974872669MaRDI QIDQ1988586

Yelda Aygar, Guler Başak Oznur, Elgiz Bairamov

Publication date: 23 April 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00834-5

zbMATH Keywords

eigenvalueboundary value problemresolvent operatorspectral parameterimpulsive conditionscattering solution

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (7)

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter ⋮ Scattering theory of quadratic eigenparameter depending impulsive Sturm-Liouville equations ⋮ An examination of boundary value transmission problem with quadratic spectral parameter ⋮ Inverse scattering problem with Levinson formula for eigenparameter‐dependent discrete Sturm–Liouville equation ⋮ Inverse fractional Sturm‐Liouville problem with eigenparameter in the boundary conditions ⋮ Unnamed Item ⋮ Green's function and Carleman's formula for transmission problems

Cites Work

• Nonlinear fourth order boundary value problem
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• Solving an initial boundary value problem on thesemiinfinite interval
• Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions
• Scattering theory of impulsive Sturm-Liouville equations
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