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.
Recommended Citation
G. S. Guseinov and M. Bohner, "Double Integral Calculus of Variations on Time Scales," Computers and Mathematics with Applications, Pergamon Press (Elsevier), Jul 2007.
The definitive version is available at https://doi.org/10.1016/j.camwa.2006.10.032
Department(s)
Mathematics and Statistics
Keywords and Phrases
Double Delta Integrals; Euler-Lagrange Equation; Partial Delta Derivatives; Time Scales
International Standard Serial Number (ISSN)
0898-1221
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2007 Pergamon Press (Elsevier), All rights reserved.
Publication Date
01 Jul 2007
