On the asymptotic behavior of solutions to two-term differential equations with singular coefficients

DOI10.1134/S0001434618070258zbMath1403.34060OpenAlexW2895181729WikidataQ129162830 ScholiaQ129162830MaRDI QIDQ1991793

A. A. Shkalikov, Karahan A. Mirzoev, Natal'ya Nikolaevna Konechnaya

Publication date: 30 October 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618070258

zbMATH Keywords

differential operators with distribution coefficientsquasi-derivativesasymptotics of solutions of differential equationsdeficiency index of a differential operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic properties of solutions to ordinary differential equations (34D05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (13)

Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions ⋮ On a method for studying the asymptotics of solutions of Sturm-Liouville differential equations with rapidly oscillating coefficients ⋮ Linear differential operators with distribution coefficients of various singularity orders ⋮ Constructing the asymptotics of solutions to differential Sturm-Liouville equations in classes of oscillating coefficients ⋮ THE NEW ASYMPTOTICS FOR SOLUTIONS OF THE STURM–LIOUVILLE EQUATION ⋮ Asymptotics of solutions of two-term differential equations ⋮ On Weyl-type solutions of differential systems with a singularity. The case of discontinuous potential ⋮ Stieltjes differential in impulse nonlinear problems ⋮ The leading term of the asymptotics of solutions of linear differential equations with first-order distribution coefficients ⋮ On a method for studying the asymptotics of solutions of odd-order differential equations with oscillating coefficients ⋮ Asymptotics of solutions to linear differential equations of odd order ⋮ Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method

Cites Work

• Orlov's theorem on the deficiency index of differential operators.
• Sturm-Liouville operators with singular potentials
• Asymptotics of solutions of matrix differential equations with nonsmooth coefficients
• One-dimensional Schrödinger operator with \(\delta\)-interactions
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• On the L² nature of solutions of nth order symmetric differential equations and McLeod's conjecture
• On deficiency index for some second order vector differential operators
• Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
• Sturm–Liouville operators
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