Integration of the Euler—Lagrange Equation

  • George Leitmann
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 24)


Let us suppose that the hypotheses of Theorem 2.3 are met so that the Euler-Lagrange equation (2.22) is of the form (2.23). Let us recall these hypotheses: (i) f(·) is twice continuously differentiable (of class C 2); (ii) f rr [t, x*(t), ẋ*(t)]≠0 for all t ∈[t 0, t 1]; (iii) ẋ*(t) is defined for all t ∈[t 0, t 1].


Lagrange Equation Continuity Property Admissible Function Average Kinetic Energy Rectilinear Motion 
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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • George Leitmann
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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