Spectral analysis of a differential operator with an involution

DOI10.1007/s00028-016-0332-8zbMath1481.47059OpenAlexW2344822390MaRDI QIDQ2408470

Elena Yu. Romanova, Anatoly G. Baskakov, Ilya A. Krishtal

Publication date: 12 October 2017

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-016-0332-8

zbMATH Keywords

method of similar operatorsspectral asymptotic analysis

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (22)

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 ⋮ The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ Method of similar operators in the study of spectral properties of perturbed first-order differential operators ⋮ Linear differential operator with an involution as a generator of an operator group ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ A novel approach to investigate the stability analysis and the dynamics of reaction-diffusion SVIR epidemic model ⋮ The inverse problem for the heat equation with reflection of the argument and with a complex coefficient ⋮ Closed operator functional calculus in Banach modules and applications ⋮ Solvability of mixed problems for the wave equation with reflection of the argument ⋮ ON THE SPECTRAL ANALYSIS OF A DIFFERENTIAL OPERATOR WITH AN INVOLUTION AND GENERAL BOUNDARY CONDITIONS ⋮ Spectral analysis of differential operators with involution and operator groups ⋮ 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 ⋮ A generalized Fourier method for the system of first-order differential equations with an involution and a group of operators ⋮ Spectral properties of an operator polynomial with coefficients in a Banach algebra ⋮ Some properties of functional-differential operators with involution \(\nu(x)=1-x\) and their applications ⋮ On the solvability of the main boundary value problems for a nonlocal Poisson equation ⋮ Similarity techniques in the spectral analysis of perturbed operator matrices ⋮ 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

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