Integration by parts and by substitution unified, Green's Theorem and uniqueness for ODEs
Classical Analysis and ODEs
2015-03-20 v1
Abstract
We present a rather unknown version of the change of variables formula for non-autonomous functions. We will show that this formula is equivalent to Green's Theorem for regions of the plane bounded by the graphs of two continuously differentiable functions. Besides, the formula has interesting applications in the uniqueness of solution of ordinary differential equations.
Keywords
Cite
@article{arxiv.1503.05699,
title = {Integration by parts and by substitution unified, Green's Theorem and uniqueness for ODEs},
author = {J. A. Cid and Rodrigo López Pouso},
journal= {arXiv preprint arXiv:1503.05699},
year = {2015}
}