### La Ecuación de Hill con Potencial Irregular

We consider the Hill equation whose potential is the formal derivative of a Hölder – continuous function of parameter \theta \in (0,1), and show that solutions of the discrete version converge to solutions of the original equation in a suitable way. This fact is used to establish existence and uniqu...

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Main Author: Cambronero, Santiago Artículo Español 2015 http://revistas.ucr.ac.cr/index.php/matematica/article/view/125 http://hdl.handle.net/10669/12755
Summary: We consider the Hill equation whose potential is the formal derivative of a Hölder – continuous function of parameter \theta \in (0,1), and show that solutions of the discrete version converge to solutions of the original equation in a suitable way. This fact is used to establish existence and uniqueness theorems for this singular case, and to deduce some properties of solutions and the discriminant of the studied equation.