Article
Double Integral Calculus of Variations on Time Scales
Computers and Mathematics with Applications
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.
Publication Date
7-1-2007
Publication Date
01 Jul 2007
Disciplines
Citation Information
Gusein Sh. Guseinov and Martin Bohner. "Double Integral Calculus of Variations on Time Scales" Computers and Mathematics with Applications (2007) ISSN: 0898-1221 Available at: http://works.bepress.com/martin-bohner/25/