State-Dependent Impulses
Boundary Value Problems on Compact Interval
Authors: Rachůnková, Irena, Tomeček, Jan
Free Preview- New approach which helps the reader to decide about solvability of various boundary value problems with state-dependent impulses
- Contains recent and unique existence results for state-dependent impulsive problems with general linear boundary conditions
- Includes existence theorems for singular impulsive problems
- Shows how to generalize presented existence results
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- About this book
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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.
- Table of contents (10 chapters)
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Introduction
Pages 1-17
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Second Order Problem with Nonlinear Boundary Conditions
Pages 21-39
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Dirichlet Problem with Time Singularities
Pages 41-62
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Dirichlet Problem with Space Singularities
Pages 63-87
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Systems of Differential Equations and Higher-Order Differential Equations with General Linear Boundary Conditions
Pages 89-109
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Table of contents (10 chapters)
- Download Preface 1 PDF (51 KB)
- Download Sample pages 2 PDF (231.7 KB)
- Download Table of contents PDF (73.5 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- State-Dependent Impulses
- Book Subtitle
- Boundary Value Problems on Compact Interval
- Authors
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- Irena Rachůnková
- Jan Tomeček
- Series Title
- Atlantis Briefs in Differential Equations
- Series Volume
- 6
- Copyright
- 2015
- Publisher
- Atlantis Press
- Copyright Holder
- Atlantis Press and the author(s)
- eBook ISBN
- 978-94-6239-127-7
- DOI
- 10.2991/978-94-6239-127-7
- Softcover ISBN
- 978-94-6239-126-0
- Series ISSN
- 2405-6405
- Edition Number
- 1
- Number of Pages
- XV, 190
- Number of Illustrations
- 7 b/w illustrations
- Topics
