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A new method of proof of Filippov's theorem based on the viability theorem

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Publication:1935663
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DOI10.2478/S11533-012-0100-0zbMath1268.34046OpenAlexW2011207405MaRDI QIDQ1935663

Magdalena Wiśniewska, Slawomir Plaskacz

Publication date: 18 February 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0100-0


zbMATH Keywords

contingent derivativeLipschitz dependence on initial conditionsviability for tubes


Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60)


Related Items (1)

Viability and Filippov-type lemma for Stieltjes differential inclusions




Cites Work

  • Unnamed Item
  • Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
  • Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side
  • Set-valued analysis




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