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Analysis of the set of trajectories of nonlinear dynamics: stability and boundedness of motions

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Publication:354500
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DOI10.1134/S0012266113010035zbMath1277.34073MaRDI QIDQ354500

Yu. A. Martynyuk-Chernienko, Anatoly Martynyuk

Publication date: 19 July 2013

Published in: Differential Equations (Search for Journal in Brave)


zbMATH Keywords

stabilityLyapunov functionsHukuhara derivativeset differential equations


Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Fuzzy ordinary differential equations (34A07)


Related Items (2)

Comparison principle based on Minkowski mixed volumes for a family of differential equations ⋮ Matrix Lyapunov functions method for sets of dynamic equations on time scales



Cites Work

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  • On the theory of Lyapunov's direct method
  • Analysis of the trajectory set of nonlinear dynamics: estimates of solutions and comparison principle
  • Stability of a set of trajectories of nonlinear dynamics
  • Stability analysis for sets of solutions




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