State-Dependent Impulses / Atlantis Briefs in Differential Equations Bd.6 (PDF)
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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 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.
- Autoren: Irena Rachunková , Jan Tomecek
- 2015, 1st ed. 2015, 190 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 9462391270
- ISBN-13: 9789462391277
- Erscheinungsdatum: 29.09.2015
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