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Systems of Not Sufficiently Smooth Functions

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    0026125 - MÚ 2006 RIV UA eng J - Journal Article
    Neuman, František
    Systems of Not Sufficiently Smooth Functions.
    [Systémy nikoliv dostatečně hladkých funkcí.]
    Technical News. 1-2, - (2005), s. 93-101
    R&D Projects: GA AV ČR(CZ) IAA1163401
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : linear systems * not sufficiently smooth functions * qualitative behavior
    Subject RIV: BA - General Mathematics

    In this paper we present a method how to deal with linear systems of not sufficiently smooth functions for which we cannot write a differential equation. We can describe their qualitative behaviour similar to those for which this behaviour was derived due to differential equations they satisfy. Our method is based on an algebraic approach using Brandt and Ehresmann groupoids.

    V tomto článku je uvedena metoda, jak vyšetřovat lineární systémy ne dostatečně hladkých funkcí, pro které nemůžeme napsat diferenciální rovnici. Popisujeme jejich kvalitativní chování podobné tomu, jak by to bylo v situaci, kdy diferenciální rovnice dovedeme napsat. Naše metoda je založena na algebraickém přístupu užívajícím Brandtovy a Ehresmannovy grupoidy.
    Permanent Link: http://hdl.handle.net/11104/0116419

     
     
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