| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4974922 | Journal of the Franklin Institute | 2013 | 12 Pages |
Abstract
The application of the functional derivatives to the mathematical modeling of complex systems is studied here. The connection of functional derivatives with total differentials in Banach spaces is shown. Local and global existence theorems for the linear equations in total differentials are proved. Consequently, a total integrability conditions are derived for the case of linear equations with the functional derivatives. Some illustrative examples are included.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
ZdenÄk Beran, Sergej Äelikovský,