Superposition rules for higher order systems and their applications (Q2890745)

From MaRDI portal





scientific article; zbMATH DE number 6045391
Language Label Description Also known as
English
Superposition rules for higher order systems and their applications
scientific article; zbMATH DE number 6045391

    Statements

    Superposition rules for higher order systems and their applications (English)
    0 references
    0 references
    0 references
    0 references
    12 June 2012
    0 references
    superposition rules
    0 references
    systems of higher order differential equations
    0 references
    second- and third-order Kummer-Schwarz equation
    0 references
    The authors propose and analyze a general concept of a superposition rule for systems of higher order differential equations. Some specific types of such superposition rules that appear in the literature have been studied and other new types have been introduced and investigated. To highlight the interest of these methods, they are illustrated by means of examples extracted from physics and mathematics. Special attention is paid to second- and third-order Kummer-Schwarz equations.
    0 references

    Identifiers