State-Dependent Impulses: Boundary Value Problems on Compact Interval - Irena Rach¿nková,Jan Tome¿ek
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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 subje ... Full description
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Description
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.
More Information
| Author | Irena Rach¿nková, Jan Tome¿ek |
|---|---|
| Publisher | Atlantis Press |
| Series | Atlantis Briefs in Differential Equations |
| Release year | 2015 |
| Cover type | Softcover |
| EAN | 9789462391260 |