1. General results

1.1 Problem position

A differential equation is said to be linear when it expresses the cancellation condition of a linear application, or, if you prefer, of a differential operator. In contrast to partial differential equations, differential equations have functions of a single scalar variable as their unknown functions. We'll concentrate on the case where the variable is real. If E is a normed vector space, the space of continuous endomorphisms of E is $L_{c} (E)$ .

Definition 1: Let I be an interval of R, E a...

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