Does the Euler Lagrange condition...
$$\frac{d}{dt}\left( \frac{\partial L}{\partial \dot{x}}\right)-\frac{\partial L}{\partial x}=0$$
...have a meaningful extension to Stochastic Differential Equations?
Does the Euler Lagrange condition...
$$\frac{d}{dt}\left( \frac{\partial L}{\partial \dot{x}}\right)-\frac{\partial L}{\partial x}=0$$
...have a meaningful extension to Stochastic Differential Equations?
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