Linear Difference Equation of Second Order in a Banach Space and Operators Splitting

DOI10.18500/1816-9791-2017-17-3-285-293zbMath1417.39069OpenAlexW2763664197MaRDI QIDQ5374402

L. Yu. Kabantsova

Publication date: 10 April 2018

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu724

zbMATH Keywords

bounded solutionsasymptotic formalisminverse operator formula

Mathematics Subject Classification ID

Difference operators (39A70) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (4)

Vandermonde operator and bounded solutions of difference equations ⋮ On bounded solutions of one difference equation of the second order ⋮ Bounded solutions of a second-order difference equation with jumps of operator coefficients ⋮ Bounded in the mean solutions of a second-order difference equation

Cites Work

• Geometric theory of semilinear parabolic equations
• Semigroups of difference operators in spectral analysis of linear differential operators
• Linear differential operators with unbounded operator coefficients and semigroups of bounded operators
• Harmonic and spectral analysis of power bounded operators and bounded semigroups of operators on Banach spaces
• Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations
• Difference operators and operator-valued matrices of the second order
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