Accession Number:

AD0266468

Title:

SOME NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS EQUIVALENT TO LINEAR SYSTEMS

Descriptive Note:

Corporate Author:

DUKE UNIV DURHAM N C

Personal Author(s):

Report Date:

1961-10-01

Pagination or Media Count:

1.0

Abstract:

The problem, what equations of order n have general solutions expressible in the form of a variable set of solutions of a fixed linear differential equation, is considered for systems of two and three equations. Results for the case n equal to 2, closely parallel the results for linear homogeneous second order equations. For linear systems in three unknowns, information of a negative nature is obtained. That is, results for n equal to 2 cannot be extended to systems in three unknowns within the broad class of solution forms examined. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE