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Bibliography

Journal Article

Application of functional derivatives to analysis of complex systems

Beran Zdeněk, Čelikovský Sergej

: Journal of the Franklin Institute-Engineering and Applied Mathematics vol.350, 10 (2013), p. 2982-2993

: GA13-20433S, GA ČR

: complex systems, linear equation, modeling

: 10.1016/j.jfranklin.2013.04.007

: http://library.utia.cas.cz/separaty/2013/TR/beran-0398123.pdf

(eng): The application of the functional derivatives to the mathematica lmodeling 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.

: BC