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Integration of the Euler—Lagrange Equation
1981Let 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].
openaire +1 more source
A new generalization of the fractional Euler–Lagrange equation for a vertical mass-spring-damper
JVC/Journal of Vibration and Control, 2021Dumitru Baleanu +2 more
exaly
On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
SIAM Journal on Control and Optimization, 2002Arrigo Cellina
exaly
The validity of the Euler–Lagrange equation for solutions to variational problems
Journal of Fixed Point Theory and Applications, 2014Arrigo Cellina
exaly
On the Euler–Lagrange equation for a variational problem: the general case II
Mathematische Zeitschrift, 2009Stefano Bianchini, Bianchini Stefano
exaly