Scattering theory of impulsive Sturm-Liouville equations

DOI10.2298/FIL1717401BzbMath1499.34442OpenAlexW2794826410MaRDI QIDQ5019643

Yelda Aygar, Basak Eren, Elgiz Bairamov

Publication date: 10 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1717401b

zbMATH Keywords

scattering theorySturm-Liouville equationscattering function

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 (14)

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter ⋮ On the spectral and scattering properties of eigenparameter dependent discrete impulsive Sturm–Liouville equations ⋮ Scattering theory of quadratic eigenparameter depending impulsive Sturm-Liouville equations ⋮ Titchmarsh-Weyl theory for impulsive dynamic Dirac system ⋮ Uniqueness of the solution to the inverse problem of scattering theory for spectral parameter polynomially dependent Klein-Gordon s-wave equation ⋮ An examination of boundary value transmission problem with quadratic spectral parameter ⋮ Solution of the inverse problem for Bessel operator on an interval \([1, a\)] ⋮ Inverse scattering problem with Levinson formula for eigenparameter‐dependent discrete Sturm–Liouville equation ⋮ Spectrum and scattering function of the impulsive discrete Dirac systems ⋮ Scattering properties of eigenparameter-dependent impulsive Sturm-Liouville equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Titchmarsh-Weyl theory for impulsive \(q\)-Dirac equation ⋮ Unnamed Item

Cites Work

• Krein's theorems for a dissipative boundary value transmission problem
• On the rate of the convergence of the characteristic values of an integral operator associated with a dissipative fourth order differential operator in lim-4 case with finite transmission conditions
• On discontinuous Sturm-Liouville problems with transmission conditions
• Eigenfunction expansion for Sturm-Liouville problems with transmission conditions at one interior point
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Eigenvalue problems for Sturm-Liouville equations with transmission conditions
• On the perturbation determinants of a singular dissipative boundary value problem with finite transmission conditions
• Dissipative operators with impulsive conditions
• Investigation of the spectral properties of a fourth order differential operator with finite transmission conditions
• Krein's Theorem for the Dissipative Operators with Finite Impulsive Effects
• Resolvent operator and spectrum of new type boundary value problems
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