Scholars' Mine
Missouri S&T
Research Repository
Curtis Laws Wilson Library
400 W. 14th Street
Rolla, MO 65409-0060
scholarsmine@mst.edu
| Title: | Double integral calculus of variations on time scales | |
| Author (s): | Bohner, Martin Guseinov, Gusein Sh. | |
| Department/Lab Affiliations: | Mathematics & Statistics | |
| Keywords: | Double Delta Integrals Euler–Lagrange equation Partial delta derivatives Time Scales | |
| Issue Date: | 2007-07 | |
| Publisher: | Pergamon Press(Elsevier) | |
| Citation: | Bohner, Martin., and Guseinov, Gusein Sh. "Double Integral Calculus of Variations on Time Scales." Computers and Mathematics with Applications, vol. 54, no. 1, (2007). | |
| 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. | |
| Type: | Article - Journal text | |
| In Title: | Computers and Mathematics with Applications | |
| Copyright Notice: | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. FULL COPYRIGHT INFORMATION: | |
| Publisher URL: | ||
| Link to this page: | ||
| Full Text: |
|
| title | Double integral calculus of variations on time scales | |
| contributor.author | Bohner, Martin | |
| contributor.author | Guseinov, Gusein Sh. | |
| contributor.deptlab | Mathematics & Statistics | |
| subject | Double Delta Integrals | |
| subject | Euler–Lagrange equation | |
| subject | Partial delta derivatives | |
| subject | Time Scales | |
| date.issued | 2007-07 | |
| publisher | Pergamon Press(Elsevier) | |
| identifier.citation | Bohner, Martin., and Guseinov, Gusein Sh. "Double Integral Calculus of Variations on Time Scales." Computers and Mathematics with Applications, vol. 54, no. 1, (2007). | |
| identifier.pub.URI | ||
| description.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. | |
| type | Article - Journal | |
| type.DCMIType | text | |
| type.status | Final version | |
| rights | This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. | |
| rights.URI | ||
| relation.isPartOf | Computers and Mathematics with Applications | |
| date.accessioned | 2007-04-11T17:00:48Z | |
| date.available | 2008-04-23T16:56:48Z | |
| identifier.persist.URI | ||
| Full Text |
|