Finite-difference operators in the study of differential operators: solution estimates

DOI10.1134/S0012266110020072zbMath1200.47060MaRDI QIDQ981759

Yu. N. Sintyaev, Anatoly G. Baskakov

Publication date: 2 July 2010

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

zbMATH Keywords

evolution operatorsspectral mapping theoremabstract Cauchy problemsdichotomy exponents

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Evolution inclusions (34G25) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10) Linear difference operators (47B39)

Related Items (15)

Linear differential operators and operator matrices of the second order ⋮ Estimate for the norm of the inverse of a differential operator ⋮ The exponential dichotomy on general approximation scheme ⋮ The Gearhart-Prüss theorem for a class of degenerate semigroups of operators ⋮ Estimates for the embedding operator of a Sobolev space of periodic functions and for the solutions of differential equations with periodic coefficients ⋮ Hyperbolic operator semigroups and Lyapunov's equation ⋮ The exponential dichotomy under discretization on general approximation scheme ⋮ Estimation of the norm of an operator inverse to a differential one ⋮ On the exponential dichotomy and spectral properties of difference operators related to the Howland semigroup ⋮ Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations ⋮ Spectral analysis of abstract parabolic operators in homogeneous function spaces ⋮ Spectral analysis of differential operators with unbounded operator coefficients on the half-line ⋮ Dichotomy of solutions of functional-differential equations in the Sobolev space ⋮ On the dichotomy of linear autonomous systems of functional-differential equations ⋮ Spectral analysis of differential operators with unbounded periodic coefficients

Cites Work

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• On solutions of differential inclusions in homogeneous spaces of functions
• Evolutionary semigroups and Lyapunov theorems in Banach spaces
• Spectral analysis of operators with the two-point Bohr spectrum
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
• One-Parameter Semigroups for Linear Evolution Equations

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