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State-Dependent Impulses Boundary Value Problems on Compact Interval /

This book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions. It covers fixed-time impulsive boundary value proble...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rachůnková, Irena (Autor), Tomeček, Jan (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
Edición:1st ed. 2015.
Colección:Atlantis Briefs in Differential Equations, 6
Temas:
Acceso en línea:Texto Completo
Descripción
Sumario:This book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions. It covers fixed-time impulsive boundary value problems both regular and singular and deals with higher order differential equations or with systems that are subject to general linear boundary conditions. We treat state-dependent impulsive boundary value problems, including a new approach giving effective conditions for the solvability of the Dirichlet problem with one state-dependent impulse condition and we show that the depicted approach can be extended to problems with a finite number of state-dependent impulses. We investigate the Sturm-Liouville boundary value problem for a more general right-hand side of a differential equation. Finally, we offer generalizations to higher order differential equations or differential systems subject to general linear boundary conditions.
Descripción Física:XV, 190 p. 7 illus. online resource.
ISBN:9789462391277
ISSN:2405-6413 ;