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On stability of motion of polynomial systems with aftereffect

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Publication:6058458
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DOI10.1007/s10778-022-01162-1zbMath1522.34077OpenAlexW4312214190MaRDI QIDQ6058458

V. O. Chernienko, A. A. Marnynyuk

Publication date: 1 November 2023

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10778-022-01162-1


zbMATH Keywords

stabilityboundednessmethod of Lyapunov functionalsmethod of Lyapunov-Razumikhin functionspolynomial system with aftereffect


Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)




Cites Work

  • Stability and periodic solutions of ordinary and functional differential equations
  • Theory of functional differential equations. 2nd ed
  • Constructive estimation of the Lyapunov function for quadratic nonlinear systems
  • Sufficient stability conditions for polynomial systems
  • Abstract Volterra equations: a survey
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