Matemáticas

URI permanente para esta colecciónhttp://hdl.handle.net/11349/48

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Integrales de Henstock-Kurzweil, espacios de Sobolev y algunas aplicaciones
Blanco Cano, Sebastian Camilo; Ramos Fernández, Julio César
In this paper a study of the most relevant properties of the HK integral and of the HK-Sobolev spaces defined in the recent paper by Pérez-Becerra et al. It is shown that the definite integral for functions in these spaces fulfills the same characteristics as Riemann-integrable functions, such as, for example, a fundamental theorem of calculus and a formula for integration by parts. Then, the existence and uniqueness of solutions for a boundary value problem in these spaces is proved.