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State-Dependent Impulses

Boundary Value Problems on Compact Interval

Irena Rachůnková author Jan Tomeček author

Format:Paperback

Publisher:Atlantis Press (Zeger Karssen)

Published:9th Oct '15

Currently unavailable, and unfortunately no date known when it will be back

State-Dependent Impulses cover

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.

ISBN: 9789462391260

Dimensions: unknown

Weight: 3226g

190 pages

1st ed. 2015