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.
