Hüseyin, Hüseyin ŞirinBohner, MartinGuseinov, Gusein Sh.Mathematics2024-07-052024-07-052007820898-122110.1016/j.camwa.2006.10.0322-s2.0-34347204156https://doi.org/10.1016/j.camwa.2006.10.032https://hdl.handle.net/20.500.14411/899Bohner, Martin/0000-0001-8310-0266We 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. (C) 2007 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccesstime scalespartial delta derivativesdouble delta integralsEuler-Lagrange equationArticleQ15414557WOS:000248144000006