CHAPTER 17CALCULUS of VARIATIONS

The extremum point of a surface, images is defined as the point where the first differential, images vanishes:

Since images and images are independent infinitesimal displacements, Eq. (17.1) can only be satisfied when the coefficients of images and images vanish simultaneously:

(17.2)equation

A point that satisfies these conditions is called the stationary point or the extremum point of the surface. To determine whether an extremum corresponds to a maximum or a minimum, one has to check the second differential, images, which involves second‐order partial derivatives of For a function of independent ...

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