Transmutation operators method for Sturm-Liouville equations in impedance form. I: Construction and analytical properties
DOI10.1007/s10958-022-05875-zOpenAlexW4293794065WikidataQ114225176 ScholiaQ114225176MaRDI QIDQ6147832
Vladislav V. Kravchenko, Víctor A. Vicente-Benítez
Publication date: 1 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-022-05875-z
Sturm-Liouville equationFourier-Legendre seriesNeumann series of Bessel functionstransmutation operatorimpedance form
Theoretical approximation of solutions to ordinary differential equations (34A45) Sturm-Liouville theory (34B24) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)
Cites Work
- Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems
- Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions
- A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations
- Inverse spectral problems for Sturm--Liouville operators in impedance form
- Construction of transmutation operators and hyperbolic pseudoanalytic functions
- Transmutations, singular and fractional differential equations with applications to mathematical physics
- Standard transmutation operators for the one dimensional Schrödinger operator with a locally integrable potential
- Transmutations for Darboux transformed operators with applications
- Applied Pseudoanalytic Function Theory
- Inverse eigenvalue problems for a Sturm-Liouville equation in impedance form
- Scattering techniques for a one dimensional inverse problem in geophysics
- Solution of the inverse spectral problem for an impedance with integrable derivative part II
- Transmutations and Spectral Parameter Power Series in Eigenvalue Problems
- Direct and Inverse Sturm-Liouville Problems
- Spectral parameter power series for Sturm–Liouville problems
- On polynomials orthogonal on several segments with indefinite weight
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Transmutation operators method for Sturm-Liouville equations in impedance form. I: Construction and analytical properties