Homework Help: Euler-Lagrange Equations

1. Apr 13, 2010

TheDoorsOfMe

What does it mean when it says "the integral of the Lagrange equation is stationary for the path followed by the particle"?

2. Apr 13, 2010

TheDoorsOfMe

Is it just saying that the integral is a constant?

3. Apr 13, 2010

MaceLee

I would assume it means that the action $$s = \int Ldt$$ is a stationary point (i.e. a min most likely as the action is minimised in real systems).

You might want to wait for some confirmation however as I haven't studied Lagrangian mechanics in too much depth.

4. Apr 13, 2010

Cyosis

A stationary point is a point where the derivative of a function is 0. To obtain the Euler-Lagrange equations we set the variation of the action to 0.