Investigation of spectrum and scattering function of impulsive matrix difference operators

DOI10.2298/FIL1905301BzbMath1499.39088OpenAlexW2998841206WikidataQ126386625 ScholiaQ126386625MaRDI QIDQ5080749

Serifenur Cebesoy, Elgiz Bairamov, Yelda Aygar

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1905301b

zbMATH Keywords

difference operatorSturm-Liouville equationimpulsive conditionscattering functionJost solution

Mathematics Subject Classification ID

Additive difference equations (39A10) Difference operators (39A70)

Related Items (4)

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter ⋮ On topology of polynomial type sequences with bounded integer coefficients ⋮ Scattering problems of impulsive Schrödinger equations with matrix coefficients ⋮ Unnamed Item

Cites Work

• Jost solution and the spectral properties of the matrix-valued difference operators
• On discontinuous Sturm-Liouville problems with transmission conditions
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Boundary-value uniqueness theorems for analytic functions
• An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities
• Eigenvalue problems for Sturm-Liouville equations with transmission conditions
• Difference equations of second order with spectral singularities
• Differential equations with impulse effects. Multivalued right-hand sides with discontinuities
• Dissipative operators with impulsive conditions
• Spectral analysis of a selfadjoint matrix-valued discrete operator on the whole axis
• Some non-selfadjoint operators
• Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
• Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions
• Spectral properties of non-selfadjoint difference operators
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