No CrossRef data available.
Article contents
The motions of algebraic differential equations
Published online by Cambridge University Press: 18 May 2009
Extract
We confine ourselves, for simplicity, to first-order algebraic differential equations (ADE's), although analogous considerations may be made for higher-order ADE's:
P(x, y(x), y'(x)) = 0. (*)
A motion of (*) is a change of independent variable that takes solutions to solutions, that is, a suitable map <p of the underlying interval I into itself so that if y is a solution of (*) then y ° φ is a solution of (*), i.e.
- Type
- Research Article
- Information
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 1984