The boundary conditions applied to a variational problem may also be considered as constraints. The subject of this chapter is to generalize the constraint concept in two senses. The first is to allow more difficult, algebraic boundary conditions, and the second is to allow constraints imposed on the interior of the domain as well. Several isoperimetric problems from geometry will be solved, and a closed loop integral solution also presented and illustrated.
2.1Algebraic boundary conditions
There is the possibility of defining the boundary condition at one end of the integral of the variational problem with an algebraic constraint. Let the
variational problem be subject to the ...
Get Applied Calculus of Variations for Engineers, Third edition, 3rd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
