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Double Integral Calculus Of Variations On Time Scales, Gusein Sh. Guseinov, Martin Bohner
Double Integral Calculus Of Variations On Time Scales, Gusein Sh. Guseinov, Martin Bohner
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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.