Uniform convergence of expansions in root functions of a differential operator with integral boundary conditions

DOI10.1134/S0012266119040049zbMath1419.34230OpenAlexW2945090329WikidataQ127854822 ScholiaQ127854822MaRDI QIDQ2313375

I. S. Lomov

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119040049

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

Keldysh-type problems with integral conditions for two-dimensional \(B\)-hyperbolic equations ⋮ Nonlocal boundary value problem with an integral condition for a mixed type equation with a singular coefficient ⋮ Mixed problems with integral conditions for hyperbolic equations with the Bessel operator ⋮ Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient ⋮ Unnamed Item ⋮ Uniqueness of the solution of a nonlocal problem for an elliptic-hyperbolic equation with singular coefficients ⋮ Dynamical processes in the space of \(\varphi\)-distributions

Cites Work

• Integral representations of irregular root functions of loaded second-order differential operators
• On the properties of systems of root functions of a second-order discontinuous operator
• Conditions for the absolute and uniform convergence of the biorthogonal series corresponding to a differential operator
• The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
• The development of general differential and general differential-boundary systems
• Uniform equiconvergence of a Fourier series in eigenfunctions of the first boundary value problem and of a Fourier trigonometric series.
• Estimates of root functions of the adjoint of a second-order differential operator with integral boundary conditions
• Uniform convergence of biorthogonal series for the Schrödinger operator with multipoint boundary conditions
• Convergence of eigenfunction expansions of a differential operator with integral boundary conditions
• Estimates of Speed of Convergence and Equiconvergence of Spectral Decomposition of Ordinary Differential Operators
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