- #1
muzialis
- 166
- 1
Hello there,
I am interested in the following matter.
Given an ODE, can one always find a functional F such that the ODE is its Euler Lagrange equation?
I am thinking at the following concrete case.
I have the ODE y' = a y
I would like a functional given by the intergral over a line of a function F = F (y, y'), such that the E.L. equation, giving necessary conditions for stationarity of the functional, is my ODE.
Any help is really welcome
Thanks
Muzialis
I am interested in the following matter.
Given an ODE, can one always find a functional F such that the ODE is its Euler Lagrange equation?
I am thinking at the following concrete case.
I have the ODE y' = a y
I would like a functional given by the intergral over a line of a function F = F (y, y'), such that the E.L. equation, giving necessary conditions for stationarity of the functional, is my ODE.
Any help is really welcome
Thanks
Muzialis