In classical mechanics, for conservative systems, it well knows that the differential laws of motion can be derived from a variational principle called "least action principle".(adsbygoogle = window.adsbygoogle || []).push({});

I know also that some non-conservative systems can be derived from a variational principle: the damped harmonic oscillator has a time-dependent Lagragian and an associated least action principle.

Physically, I wanted to know if:

the least action is something special happening in special conditions, and which conditionsor if it is a general rule that applies to (nearly) all differential systems of equations

Can all differential equations be derived from a variational principle?

I would greatly enjoy your ideas, comments suggestion or any track.

Examples could be very useful too.

Michel

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# Can all differential equations be derived from a variational principle?

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