MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1070

Preprint Number 1070

Previous Next Preprint server


1070. James Freitag
Disintegrated order one differential equations and algebraic general solutions
E-mail:

Submission date: 15 July 2016.

Abstract:

We generalize results of Rosenlicht to give a necessary and sufficient condition for when order one differential equations of the form D(x) = f(x) where f is a rational function is orthogonal to the constants. Following the main results of the paper, we also explain the connection between algebraic general solutions and weak orthogonality to the constants; a portion of this discussion is given in the appendix, written jointly with Joel Nagloo and Ngoc Thieu Vo.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1607.04387: pdf, ps.


Last updated: August 10 2016 11:41 Please send your corrections to: