Approach to solution of nonlinear ordinary differential equations involves transfer functions based on recently-introduced Laplace-Borel and Fourier-Borel transforms. Main theorem gives transform of response of nonlinear system as Cauchy product of transfer function and transform of input function of system, together with memory effects. Used to determine responses of electrical circuits containing variable inductances or resistances. Also possibility of doing all noncommutative algebra on computers in such symbolic programming languages as Macsyma, Reduce, PL1, or Lisp. Process of solution organized and possibly simplified by algebraic manipulations reducing integrals in solutions to known or tabulated forms.


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    Title :

    Transfer Functions Via Laplace- And Fourier-Borel Transforms


    Contributors:
    Can, Sumer (author) / Unal, Aynur (author)

    Published in:

    Publication date :

    1991-09-01



    Type of media :

    Miscellaneous


    Type of material :

    No indication


    Language :

    English




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