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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

MARC

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245 1 0 |a State-Dependent Impulses  |h [electronic resource] :  |b Boundary Value Problems on Compact Interval /  |c by Irena Rachůnková, Jan Tomeček. 
250 |a 1st ed. 2015. 
264 1 |a Paris :  |b Atlantis Press :  |b Imprint: Atlantis Press,  |c 2015. 
300 |a XV, 190 p. 7 illus.  |b online resource. 
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490 1 |a Atlantis Briefs in Differential Equations,  |x 2405-6413 ;  |v 6 
505 0 |a Introduction -- Second Order Problem with Nonlinear Boundary Conditions -- Dirichlet Problem with Time Singularities -- Dirichlet Problem with Space Singularities -- Systems of Differential Equations and Higher-Order Differential Equations with General Linear Boundary Conditions -- Dirichlet Problem with One Impulse Condition -- Dirichlet Problem via Lower and Upper Functions -- Sturm-Liouville Problem -- Higher Order Equation with General Linear Boundary Conditions -- First Order System with Linear Boundary Conditions. 
520 |a 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. 
650 0 |a Differential equations. 
650 1 4 |a Differential Equations. 
700 1 |a Tomeček, Jan.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Atlantis Briefs in Differential Equations,  |x 2405-6413 ;  |v 6 
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