Click Here to Download: https://ouo.io/jZ8HqJ State-Dependent Impulses Boundary Value Problems on Compact Interval By: Irena Rachůnková; Jan Tomeček Publisher: Atlantis Press Print ISBN: 9789462391260, 9462391262 eText ISBN: 9789462391277, 9462391270 Copyright year: 2015 Format: PDF Available from $ 69.99 USD SKU 9789462391277 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.
