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The Integrating Factor Method in Banach Spaces

Journal: Sahand Communications in Mathematical Analysis (Vol.11, No. 1)

Publication Date:

Authors : ; ; ;

Page : 115-132

Keywords : Banach spaces; Cauchy-Riemann integral; Exponential function;

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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.

Last modified: 2019-04-28 14:06:53