If for some functional ##I##, ##δI=0## where ##δ## is symbol for variation functional has extremum. For ##δ^2I>0## it is minimum, and for ##\delta^2I>0## it is maximum. What if(adsbygoogle = window.adsbygoogle || []).push({});

##δI=δ^2I=0##. Then I must go with finding further variations. And if ##δ^3I>0## is then that minimum? Or what?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Calculus of variation

Loading...

Similar Threads - Calculus variation | Date |
---|---|

I Euler’s approach to variational calculus | Feb 18, 2018 |

A Maximization problem using Euler Lagrange | Feb 2, 2018 |

A Maximization Problem | Jan 31, 2018 |

A Derivation of Euler Lagrange, variations | Aug 26, 2017 |

I Calculus of variations | Aug 19, 2017 |

**Physics Forums - The Fusion of Science and Community**