Atlantis Briefs in Differential Equations

State-Dependent Impulses

Boundary Value Problems on Compact Interval

Authors: Rachůnková, Irena, Tomeček, Jan

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  • 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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eBook 46,00 €
price for India (gross)
  • ISBN 978-94-6239-127-7
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Softcover 54,99 €
price for India (gross)
  • ISBN 978-94-6239-126-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

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)

Table of contents (10 chapters)

Buy this book

eBook 46,00 €
price for India (gross)
  • ISBN 978-94-6239-127-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 54,99 €
price for India (gross)
  • ISBN 978-94-6239-126-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
State-Dependent Impulses
Book Subtitle
Boundary Value Problems on Compact Interval
Authors
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