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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Double Delta Integrals; Euler-Lagrange Equation; Partial Delta Derivatives; Time Scales

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2007 Pergamon Press (Elsevier), All rights reserved.

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