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Transfer Functions Via Laplace- And Fourier-Borel TransformsApproach 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.
Document ID
19910000485
Acquisition Source
Legacy CDMS
Document Type
Other - NASA Tech Brief
Authors
Can, Sumer
(Santa Clara Univ.)
Unal, Aynur
(NASA Ames Research Center, Moffett Field, CA.)
Date Acquired
August 14, 2013
Publication Date
September 1, 1991
Publication Information
Publication: NASA Tech Briefs
Volume: 15
Issue: 9
ISSN: 0145-319X
Subject Category
Mathematics And Information Sciences
Report/Patent Number
ARC-12295
Accession Number
91B10485
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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