State-Dependent Impulses
Boundary Value Problems on Compact Interval
Nonfiction, Science & Nature, Mathematics, Differential Equations
| Author: | Irena Rachůnková, Jan Tomeček | ISBN: | 9789462391277 |
| Publisher: | Atlantis Press | Publication: | September 29, 2015 |
| Imprint: | Atlantis Press | Language: | English |
| Author: | Irena Rachůnková, Jan Tomeček |
| ISBN: | 9789462391277 |
| Publisher: | Atlantis Press |
| Publication: | September 29, 2015 |
| Imprint: | Atlantis Press |
| Language: | English |
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.
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.
