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.
Produkteigenschaften
- Artikelnummer: 9789462391260
- Medium: Buch
- ISBN: 978-94-6239-126-0
- Verlag: Atlantis Press
- Erscheinungstermin: 09.10.2015
- Sprache(n): Englisch
- Auflage: 2015
- Serie: Atlantis Briefs in Differential Equations
- Produktform: Kartoniert
- Gewicht: 3226 g
- Seiten: 190
- Format (B x H x T): 155 x 235 x 12 mm
- Ausgabetyp: Kein, Unbekannt