Stability of partial functional integro-differential equations

DOI10.1007/s10450-006-9681-xzbMath1178.35368OpenAlexW2073338608MaRDI QIDQ882653

N. E. Zubov

Publication date: 24 May 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10450-006-9681-x

zbMATH Keywords

exponential stabilityfunctional differential equationsCauchy matrixphase transition model

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) Integro-partial differential equations (35R09)

Related Items

About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations, On stability of vector nonlinear integrodifferential equations, Spectral methods for solving integro-differential equations and bibiliometric analysis, Positivity of solutions to boundary value problems for infinite functional differential systems, Solution estimates for semilinear non-autonomous evolution equations with differentiable linear parts, Local attractivity for integro-differential equations with noncompact semigroups, Stability and boundedness of solutions to nonautonomous parabolic integrodifferential equations, Existence and asymptotic periodicity of solutions for neutral integro-differential evolution equations with infinite delay

Cites Work

• Introduction to functional differential equations
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• Theory and applications of partial functional differential equations
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• Integral equations and stability of feedback systems
• Equivalent condition for stability of a Volterra integro-differential equation
• A general theory of heat conduction with finite wave speeds
• Phase Field Equations with Memory: The Hyperbolic Case
• Stability of integro-differential equations with periodic operator coefficients
• Heat waves
• Stability of a linear integro-differential equation with periodic coefficients
• Volterra integral and differential equations
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