State-Dependent Impulses, 1st ed. 2015
Boundary Value Problems on Compact Interval
Atlantis Briefs in Differential Equations Series, Vol. 6

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.

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

Includes supplementary material: sn.pub/extras