State-Dependent Impulses Boundary Value Problems on Compact Interval /
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 proble...
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| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2015.
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| Edition: | 1st ed. 2015. |
| Series: | Atlantis Briefs in Differential Equations,
6 |
| Subjects: | |
| Online Access: | https://doi.org/10.2991/978-94-6239-127-7 |
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| Summary: | 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. |
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| Physical Description: | XV, 190 p. 7 illus. online resource. |
| ISBN: | 9789462391277 |
| ISSN: | 2405-6405 ; |