State-Dependent Impulses Boundary Value Problems on Compact Interval /

• Main Authors: Rachůnková, Irena (Author), Tomeček, Jan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
• Edition: 1st ed. 2015.
• Series: Atlantis Briefs in Differential Equations, 6
• Subjects: Mathematics.; Differential equations.; Ordinary 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 proble...

Table of Contents:

• 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.