State-Dependent Impulses
Boundary Value Problems on Compact Interval
Seiten
2015
|
1st ed. 2015
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-126-0 (ISBN)
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-126-0 (ISBN)
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.
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.
Reihe/Serie | Atlantis Briefs in Differential Equations ; 6 |
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Zusatzinfo | 7 Illustrations, black and white; XV, 190 p. 7 illus. |
Verlagsort | Paris |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Fixed point approach • General linear boundary conditions • Impulses at fixed times • Impulsive boundary value problems • State-dependent impulses |
ISBN-10 | 94-6239-126-2 / 9462391262 |
ISBN-13 | 978-94-6239-126-0 / 9789462391260 |
Zustand | Neuware |
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