Criterion for the basis property of the eigenfunction system of a multiple differentiation operator with an involution

DOI10.1134/S001226611208006XzbMath1268.47053OpenAlexW1968682537MaRDI QIDQ1930793

Abdizhakhan M. Sarsenbi, Makhmud A. Sadybekov

Publication date: 14 January 2013

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

Full work available at URL: https://doi.org/10.1134/s001226611208006x

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Ordinary differential operators (34L99)

Related Items (27)

Riesz basis property of system of root functions of second-order differential operator with involution ⋮ Spectral asymptotics of two-term even order operators with involution ⋮ On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems ⋮ On an inverse problem of reconstructing a heat conduction process from nonlocal data ⋮ On the solvability of an initial-boundary value problem for a fractional heat equation with involution ⋮ On a class of inverse problems for a parabolic equation with involution ⋮ Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x) ⋮ Linear differential operator with an involution as a generator of an operator group ⋮ Spectral analysis of a differential operator with an involution ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ Spectral properties of a nonlocal problem for a second-order differential equation with an involution ⋮ Spectral properties of ordinary differential operators with involution ⋮ Basis property of a system of eigenfunctions of a second-order differential operator with involution ⋮ Formula for regularized trace of a second order differential operator with involution ⋮ Fourier method for first order differential equations with involution and groups of operators ⋮ Spectral properties of the Cauchy problem for a second-order operator with involution ⋮ Properties in L p of root functions for a nonlocal problem with involution ⋮ Well-posedness of a parabolic equation with nonlocal boundary condition ⋮ Regular ordinary differential operators with involution ⋮ On the solvability of the main boundary value problems for a nonlocal Poisson equation ⋮ Similarity techniques in the spectral analysis of perturbed operator matrices ⋮ Green's functions of recurrence relations with reflection ⋮ Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type ⋮ Spectral properties of first-order differential operators with an involution and groups of operators ⋮ On the Stability of Schrödinger Type Involutory Differential Equations ⋮ Spectral properties of a differential operator with involution ⋮ Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data

Cites Work

• On the basis properties of root functions of two generalized eigenvalue problems
• Unconditional bases related to a nonclassical second-order differential operator
• The Riesz bases consisting of eigen and associated functions for a functional differential operator with variable structure
• On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation
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