[Download] "State-Dependent Impulses" by Irena Rachůnková & Jan Tomeček * Book PDF Kindle ePub Free
eBook details
- Title: State-Dependent Impulses
- Author : Irena Rachůnková & Jan Tomeček
- Release Date : January 29, 2015
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 5344 KB
Description
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.