The nonlocal problem for the differential-operator equation of the even order with the involution

DOI10.15330/cmp.9.2.109-119zbMath1397.34100OpenAlexW2782473484WikidataQ115235555 ScholiaQ115235555MaRDI QIDQ4634953

M. I. Kopach, Lubov I. Kolyasa, Petro I. Kalenyuk, Yaroslav Baranetskij

Publication date: 13 April 2018

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.9.2.109-119

zbMATH Keywords

Riesz basiseigenfunctionsdifferential-operator equationoperator of involution

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear differential equations in abstract spaces (34G10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (11)

Nonlocal multipoint problem for a differential equation of $2n$-th order with operator coefficients ⋮ Interpolational $(L,M)$-rational integral fraction on a continual set of nodes ⋮ A nonlocal problem for a differential operator of even order with involution ⋮ The nonlocal problem for the $2n$ differential equations with unbounded operator coefficients and the involution ⋮ Nonlocal multipoint problem for an ordinary differential equations of even order involution ⋮ Inverse problems of determining an unknown depending on time coefficient for a parabolic equation with involution and periodicity conditions ⋮ Nonlocal problem with multipoint perturbations of the Birkhoff strongly regular boundary conditions for an even-order differential operator ⋮ The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. II ⋮ The nonlocal multipoint problem with Dirichlet-type conditions for an ordinary differential equation of even order with involution ⋮ The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients ⋮ The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. I

Cites Work

• Initial-boundary value problems for first-order hyperbolic equations with involution
• On the basis property of the eigenfunctions of the Frankl problem with nonlocal evenness and oddness conditions of the second kind
• Spectral properties of a nonlocal problem for a second-order differential equation with an involution
• Two-point boundary value problems involving reflection of the argument
• Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
• Spectral properties of nonself-adjoint nonlocal boundary-value problems for the operator of differentiation of even order
• Nonlocal Multipoint Problem for Differential-Operator Equations of Order 2n
• On Riescz Bases of Eigenfunction of 2-nd Order Differential Operator with Involution and Integral Boundary Conditions
• Inverse problems for a nonlocal wave equation with an involution perturbation
• Linear operators that areT-invariant with respect to a group of homeomorphisms
• On elements of the Lax–Phillips scattering scheme for $\mathcal {PT}$-symmetric operators
• One-dimensional Schrödinger operators with -symmetric zero-range potentials
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