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Application of functional derivatives to analysis of complex systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00398123" target="_blank" >RIV/67985556:_____/13:00398123 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jfranklin.2013.04.007" target="_blank" >http://dx.doi.org/10.1016/j.jfranklin.2013.04.007</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jfranklin.2013.04.007" target="_blank" >10.1016/j.jfranklin.2013.04.007</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Application of functional derivatives to analysis of complex systems

  • Original language description

    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 linearequations 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-20433S" target="_blank" >GA13-20433S: Analysis and control of globally decomposed strongly nonlinear state space dynamical models with complex interactions of their components</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of the Franklin Institute-Engineering and Applied Mathematics

  • ISSN

    0016-0032

  • e-ISSN

  • Volume of the periodical

    350

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    13

  • Pages from-to

    2982-2993

  • UT code for WoS article

    000327909800010

  • EID of the result in the Scopus database