Rachunková / Rachunková / Tomecek State-Dependent Impulses

Boundary Value Problems on Compact Interval
1. Auflage 2015
ISBN: 978-94-6239-127-7
Verlag: Atlantis Press
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 190 Seiten

Reihe: Atlantis Briefs in Differential Equations

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.

Zielgruppe

Research

Autoren/Hrsg.

Rachunková, Irena

Tomecek, Jan

Inhaltsverzeichnis

Introduction.- Second Order Problem with Nonlinear Boundary Conditions.- Dirichlet Problem with Time Singularities.- Dirichlet Problem with Space Singularities.- Systems of Differential Equations and Higher-Order Differential Equations with General Linear Boundary Conditions.- Dirichlet Problem with One Impulse Condition.- Dirichlet Problem via Lower and Upper Functions.- Sturm-Liouville Problem.- Higher Order Equation with General Linear Boundary Conditions.- First Order System with Linear Boundary Conditions.