: Irena Rachůnková, Jan Tomeček
: State-Dependent Impulses Boundary Value Problems on Compact Interval
: Atlantis Press
: 9789462391277
: 1
: CHF 47.50
:
: Analysis
: English
: 190
: Wasserzeichen
: PC/MAC/eReader/Tablet
: PDF

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.