Double Integral Calculus of Variations on Time Scales

Gusein Sh. Guseinov
Martin Bohner, Missouri University of Science and Technology

This document has been relocated to http://scholarsmine.mst.edu/math_stat_facwork/633

There were 30 downloads as of 27 Jun 2016.

Abstract

We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among them an analogue of the Euler-Lagrange equation.