Advances in Differential Equations and Control Processes
Volume 18, Issue 2, Pages 69 - 76
(May 2017) http://dx.doi.org/10.17654/DE018020069 |
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A NOTE ON VARIATIONAL SYMMETRIES OF THE CONSTRAINED VARIATIONAL PROBLEMS
Atefeh Hasan-Zadeh
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Abstract: We consider a general constrained variational problem and the corresponding Euler-Lagrange equation. These problems have been solved by several analytic and numerical approaches. In geometric approach, using the invariance of the Euler-Lagrange equation under changes of variable, a one-parameter group of variational symmetries of the equation is obtained. |
Keywords and phrases: constrained variational problem, Euler-Lagrange equation, variational symmetries, Lagrange multiplier. |
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