A nonlocal problem for a differential operator of even order with involution

DOI10.1515/jaa-2020-2026zbMath1467.34066OpenAlexW3095317512MaRDI QIDQ830297

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

Publication date: 7 May 2021

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2020-2026

zbMATH Keywords

Riesz basisdifferential equationnonlocal problemroot functionnonself-adjoint operatoroperator of involution

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Spectral theory of functional-differential operators (34K08)

Cites Work

• 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
• The nonlocal multipoint problem with Dirichlet-type conditions for an ordinary differential equation of even order with involution
• Regular ordinary differential operators with involution
• Nonlocal multipoint problem for an ordinary differential equations of even order involution
• 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
• The nonlocal problem for the $2n$ differential equations with unbounded operator coefficients and the involution
• The nonlocal problem for the differential-operator equation of the even order with the involution
• 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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