Document Type : Research Paper
1 Department of Mathematics, New Mexico State University, Las Cruces, New Mexico 88003, USA.
2 Departamento de Matem\'aticas, Universidad de Sonora, Hermosillo, Sonora 83000, Mexico.
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.
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