Dichotomy of solutions of functional-differential equations in the Sobolev space

DOI10.1134/S0012266115040047zbMath1323.34086MaRDI QIDQ2515251

R. K. Romanovskii, E. M. Nazaruk

Publication date: 31 July 2015

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

zbMATH Keywords

operator inequalitiesLyapunov direct method

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations in abstract spaces (34K30) Linear functional-differential equations (34K06)

Cites Work

• On the exponential dichotomy of solutions of the Cauchy problem for a hyperbolic system on a plane
• The exponential dichotomy of solutions to systems of linear difference equations with almost periodic coefficients
• Hyperbolic operator semigroups and Lyapunov's equation
• Finite-difference operators in the study of differential operators: solution estimates
• The invertibility of the operator \(d/dt+A(t)\) in the space of bounded functions
• Evolutionary semigroups and Lyapunov theorems in Banach spaces
• On the dichotomy of linear autonomous systems of functional-differential equations
• Exponential dichotomy of linear difference systems with almost periodic matrix
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations
• SOME SMOOTH ERGODIC SYSTEMS
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