%0 Journal Article %T The Integrating Factor Method in Banach Spaces %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Alvarez, Josefina %A Espinoza-Villalva, Carolina %A Guzman-Partida, Martha %D 2018 %\ 08/01/2018 %V 11 %N 1 %P 115-132 %! The Integrating Factor Method in Banach Spaces %K Banach spaces %K Cauchy-Riemann integral %K Exponential function %R 10.22130/scma.2018.63445.240 %X The so called integrating factor method, used to find solutions of ordinary differential equations of a certain type, is well known. In this article, we extend it to equations with values in a Banach space. Besides being of interest in itself, this extension will give us the opportunity to touch on a few topics that are not usually found in the relevant literature. Our presentation includes various illustrations of our results. %U https://scma.maragheh.ac.ir/article_31559_3d3a29c3ca9569969a1733143533626c.pdf