Accession Number : AD0266468

Title :   SOME NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS EQUIVALENT TO LINEAR SYSTEMS

Corporate Author : DUKE UNIV DURHAM N C

Personal Author(s) : DRESSEL,F.G. ; GERGEN,J.J.

Report Date : OCT 1961

Pagination or Media Count : 1

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)

Descriptors :   *DIFFERENTIAL EQUATIONS, *NONLINEAR DIFFERENTIAL EQUATIONS, LINEAR SYSTEMS, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE