Numerical solutions for implicit differential equations with singularities

In this paper we introduce a technique to deal with implicit differential equations exhibiting singularities. Our approach is a geometrical one, we use the concept of contact structure on a manifold associated with the differential equation. In this setting we prove an existence and uniqueness theor...

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Bibliographic Details
Main Authors: Antonio Castelo, Geovan Tavares, Juliana Bertoco
Format: Article
Language:English
Published: Universidade Estadual de Londrina 2022-05-01
Series:Semina: Ciências Exatas e Tecnológicas
Subjects:
Online Access:https://ojs.uel.br/revistas/uel/index.php/semexatas/article/view/45618