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Ordinary Differential Equations

descriptionPublicationkeyboard_double_arrow_right Book , Part of book or chapter of book 01 Jan 2012Publisher:American Mathematical Society (AMS)

Authors: Claudia Valls; Luis Barreira;

doi: 10.1090/gsm/137 , 10.1007/978-1-4471-4008-5_5

Ordinary Differential Equations

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Abstract

In this chapter we introduce the basic notions of the theory of ordinary differential equations. Besides establishing the existence and uniqueness of solutions, we study the class of linear differential equations with constant coefficients, as well as their perturbations. In particular, we show how to solve linear differential equations by computing exponentials of matrices, and we establish the Variation of parameters formula for the perturbations of these equations.

Related Organizations

Instituto Superior de Espinho
Portugal

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