SOME NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS EQUIVALENT TO LINEAR SYSTEMS

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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

Author(s):
Dressel, F. G. ; Gergen, J. J.
Author Organization(s):
DUKE UNIV DURHAM N C
Pagination:
0001

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFOSR-1419
Contract/Grant Number(s):
AF49 638 892
Monitor Series:
1419
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*DIFFERENTIAL EQUATIONS, *NONLINEAR DIFFERENTIAL EQUATIONS, LINEAR SYSTEMS, THEORY
Report Date:
1961 Oct 01