Basis properties of eigenfunctions of second-order differential operators with involution
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Publication:1925394
DOI10.1155/2012/576843zbMath1270.34195OpenAlexW2060440157WikidataQ58695577 ScholiaQ58695577MaRDI QIDQ1925394
Asylzat A. Kopzhassarova, Abdizhakhan M. Sarsenbi
Publication date: 18 December 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/576843
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary eigenvalue problems for ordinary differential equations (34B09)
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 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 ⋮ Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x) ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ Riesz basicity for general systems of functions ⋮ 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 ⋮ 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 ⋮ About the nature of the spectrum of the periodic problem for the heat equation with a deviating argument ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ Nonlocal Multipoint Problem for Differential-Operator Equations of Order 2n ⋮ An inverse problem for a parabolic equation with involution ⋮ Initial-boundary value problems for a time-fractional differential equation with involution perturbation ⋮ On a class of inverse problems for a heat equation with involution perturbation ⋮ Green's functions of recurrence relations with reflection ⋮ An inverse problem for space and time fractional evolution equations with an involution perturbation ⋮ 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 ⋮ Inverse problems for a multi-term time fractional evolution equation with an involution ⋮ Spectral properties of a differential operator with involution ⋮ Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data
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- Unconditional bases related to a nonclassical second-order differential operator
- Asymptotic properties of third-order delay trinomial differential equations
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