Solvability conditions for the difference equations with an initial condition in a subspace

DOI10.1007/s11202-010-0061-0zbMath1213.39002OpenAlexW1973794918MaRDI QIDQ630282

M. S. Bichegkuev

Publication date: 17 March 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0061-0

zbMATH Keywords

resolvent setlinear difference equationcomplex Banach spaceunique solutionlinear relationweighted shift operatorordered pairrestriction of a relationspectrum of linear relation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Discrete version of topics in analysis (39A12) Linear differential equations in abstract spaces (34G10) Linear difference equations (39A06)

Related Items (5)

Lyapunov transformation of differential operators with unbounded operator coefficients ⋮ On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects ⋮ Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations ⋮ Spectral analysis of differential operators with unbounded operator coefficients on the half-line ⋮ Spectral analysis of differential operators with unbounded operator coefficients in weighted spaces of functions

Cites Work

• On a weakened Cauchy problem for a linear differential inclusion
• Geometric theory of semilinear parabolic equations
• Classes of linear operators. Vol. I
• Semigroups of difference operators in spectral analysis of linear differential operators
• Linear differential operators with unbounded operator coefficients and semigroups of bounded operators
• Invertibility of linear difference operators with constant coefficients
• Linear differential equations and functional analysis. IV
• Spectral analysis of linear relations and degenerate operator semigroups
• Conditions for solubility of difference inclusions
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