Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
La Ecuación de Hill con Potencial Irregular
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How to Cite

Cambronero Villalobos, S. (1996). La Ecuación de Hill con Potencial Irregular. Revista De Matemática: Teoría Y Aplicaciones, 3(1), 35–44. https://doi.org/10.15517/rmta.v3i1.125

Abstract

We consider the Hill equation whose potential is the formal derivative of a Hölder – continuous function of parameter θ ∈ (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.

https://doi.org/10.15517/rmta.v3i1.125
PDF (Español (España))

References

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