On stability of functional differential equations with rapidly oscillating coefficients

DOI10.3934/cpaa.2018016zbMath1376.34061OpenAlexW2758839223MaRDI QIDQ2411013

V. I. Kuznetsova, V. G. Kurbatov

Publication date: 20 October 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018016

zbMATH Keywords

stabilitypassivityaveraging principlecausal invertibilitylinear functional differential equation

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06)

Cites Work

• Fractional linear systems and electrical circuits
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• Théorie des distributions à valeurs vectorielles. II
• An operator variant of the maximum principle
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• Introduction to functional differential equations
• Stable iterations for the matrix square root
• L\(_2\)-gain and passivity techniques in nonlinear control
• Stability of functional differential equations with oscillating coefficients and distributed delays
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• The influence of delays when averaging slow and fast oscillating systems: overview
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
• Averaging methods in nonlinear dynamical systems
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