Inverse spectral problem for a third-order differential operator with non-local potential

DOI10.1016/j.jde.2021.09.025OpenAlexW3204816526MaRDI QIDQ2232745

V. A. Zolotarev

Publication date: 8 October 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.00450

zbMATH Keywords

inverse problemnon-local potentialthird-order differential operator

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (max. 100)

Dependence of eigenvalues of \((2n + 1)\)th order boundary value problems with transmission conditions ⋮ Ambarzumyan theorem for third order ordinary differential equations with discontinuity conditions inside a finite interval ⋮ Inverse scattering problem for a third-order operator with local potential ⋮ Direct and inverse problems for a third order self-adjoint differential operator with periodic boundary conditions and nonlocal potential ⋮ Inverse scattering problem for a third-order operator with non-local potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Dressing Method for the Degasperis-Procesi Equation
• Inverse spectral nonlocal problem for the first order ordinary differential equation
• Inverse scattering transform for the Degasperis–Procesi equation
• The inverse spectral problem for the discrete cubic string
• Inverse spectral problems for non-local Sturm–Liouville operators
• Multi-peakon solutions of the Degasperis–Procesi equation
• Direct and inverse problems for an operator with nonlocal potential
• Direct and inverse spectral problems for Dirac systems with nonlocal potentials
• A Riemann–Hilbert approach for the Degasperis–Procesi equation
• Inverse spectral problem for the operators with non‐local potential

This page was built for publication: Inverse spectral problem for a third-order differential operator with non-local potential