SOME NONLINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS EQUIVALENT TO LINEAR SYSTEMS
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1961
- Accession Number
- AD0266468
Entities
People
- F.g. Dressel
- J.j. Gergen
Organizations
- Duke University