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Matrix-valued functionals approach for stability analysis of functional differential equations.

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Publication:1426709
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DOI10.1016/j.na.2003.10.016zbMath1046.34087OpenAlexW2070319908MaRDI QIDQ1426709

Anatoly Martynyuk

Publication date: 15 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.016


zbMATH Keywords

functional-differential equationsuniform asymptotic stabilitywedge functionsLyapunov matrix-valued functional


Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)


Related Items (1)

Stability of impulsive functional differential equations



Cites Work

  • Unnamed Item
  • Stability and periodic solutions of ordinary and functional differential equations
  • Introduction to functional differential equations
  • Uniform asymptotic stability in infinite delay systems
  • The matrix-valued Lyapunov functional and stability for systems with delay
  • A stability theorem in functional differential equations


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