Journal of Jishou University(Natural Sciences Edition)

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Proof of Sufficient Conditions for Brachistochrone Problem Solution

XING Jiasheng,YANG Yichuan   

  1. (1.School of Mathematics and Systems Science,Beihang University,Beijing 100191,China;2.LMIB of the Ministry of Education,Beihang University,Beijing 100191,China)
  • Online:2019-03-25 Published:2019-04-30


Brachistochrone problem being changed to the problem of functional minimum value,direct and simple proof is then given that the functional critical point is the point of the functional minimum value and the functional critical point has uniqueness.

Key words: brachistochrone problem, functional, critical point minimum value, sufficient condition

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