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Qualitative analysis of optimal trajectories of the point mass motion in a resisting medium and the brachistochrone problem

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Publication:2515387
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DOI10.1134/S106423071501013XzbMath1317.49030MaRDI QIDQ2515387

O. Yu. Cherkasov, A. V. Zarodnyuk

Publication date: 5 August 2015

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)



Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Optimality conditions for problems involving ordinary differential equations (49K15)


Related Items (3)

Features of the support reaction in the range maximization problem in a resistant medium ⋮ On the maximization of the horizontal range and the brachistochrone with an accelerating force and viscous friction ⋮ Interaction between internal and external friction in rotation of vane with viscous filling




Cites Work

  • Unnamed Item
  • Brachistochrone with friction
  • On the structure of optimal trajectories of motion of a rotating body in a resting medium
  • An analog of the classical brachistochrone for a disk
  • Some remarks on the brachistochrone problem with Coulomb friction
  • Brachistochrone with Coulomb Friction




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