Lyapunov's direct method for linear systems of functional-differential equations in Sobolev space

DOI10.1134/S0037446614040119zbMath1309.34127MaRDI QIDQ483479

E. M. Nazaruk, R. K. Romanovskii

Publication date: 17 December 2014

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

zbMATH Keywords

Lyapunov functionalmatrix realization of operators in \(\mathrm H^1(0,1)\)reduction to a difference equation in a Sobolev spacestability in \(\mathrm H^1\)-topology

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06)

Cites Work

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• On the exponential dichotomy of solutions of the Cauchy problem for a hyperbolic system on a plane
• Direct Lyapunov method for hyperbolic systems on the plane with time-periodic coefficients
• On stability of solutions to the Cauchy problem for hyperbolic systems in two independent variables
• The stability of solutions of nonlinear almost periodic systems of delay functional-differential equations
• Stability of solutions of almost periodic functional differential systems of neutral type
• Functional-differential equations in Sobolev spaces and related problems of spectral theory
• Lyapunov functionals of constant signs in the stability problem for a functional-differential equation of neutral type
• The method of Lyapunov functionals in stability analysis of functional-differential equations
• The method of Lyapunov functionals for linear difference-differential systems with almost-periodic coefficients

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