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Recolector de Ciencia Abierta, RECOLECTA
Bachelor thesis . 2020
License: CC BY NC SA
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Disconjugación en la teoría de ecuaciones diferenciales ordinarias

Authors: Sarrapio Lamas, Yaiza;

Disconjugación en la teoría de ecuaciones diferenciales ordinarias

Abstract

[ES] En este trabajo nos centraremos en la disconjugación de las ecuaciones diferenciales lineales. Se expondrán numerosos resultados sobre esta propiedad. En los tres primeros capítulos definiremos términos como son Wronskiano, sistema de Descartes o función de Green, con el fin de probar que la continuidad, en un intervalo abierto o semiabierto I, de los coeficientes de una ecuación diferencial general de orden n, implica que dicha ecuación es disconjugada si, y solo si, toda solución no trivial tiene menos de n ceros distintos en I, independientemente de su multiplicidad. Finalmente en el capítulo 4 estableceremos una relación entre la disconjugación de una ecuación diferencial lineal, con un parámetro que puede tomar distintos valores, y sus posibles autovalores, llegando a un teorema que nos proporciona un intervalo de disconjugación para dicho parámetro. Acabaremos mostrando varios ejemplos de casos particulares en los que caracterizaremos el intervalo de disconjugación utilizando Maple.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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