While teaching calculus of variations, I came across the Ostrogradsky equation for extremizing functionals involving functions with many independent variables. What are the other applications of Ostrogradsky equation? Thanks. - Sundar
In the classical book "Differential Equations and the Calculus of Variations" by L. Elsgolts, the author shows how we can derive Laplace's Equation, Poisson's Equation and Wave Equation by choosing suitable integrand function f(x, y, z, p, q) with the double integral defined over a region D. I wish to know more applications, thanks. - Sundar