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  • Article
    Citation - WoS: 77
    Citation - Scopus: 85
    Double Integral Calculus of Variations on Time Scales
    (Pergamon-elsevier Science Ltd, 2007) Bohner, Martin; Guseinov, Gusein Sh.
    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. (C) 2007 Elsevier Ltd. All rights reserved.