Integration by parts and by substitution unified, Green's Theorem and uniqueness for ODEs

Autor:	Cid, J. A., Pouso, Rodrigo López
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.05699 Zobrazit plný text záznamu View this record from Arxiv