Irena Rachunková, Jan Tomecek

State-Dependent Impulses

Boundary Value Problems on Compact Interval

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Atlantis Computational Intelligence Systems 1002
• Verlag: Atlantis Press / Springer, Berlin
• Artikelnr. des Verlages: 978-94-6239-126-0
• 1st ed. 2015
• Seitenzahl: 208
• Erscheinungstermin: 9. Oktober 2015
• Englisch
• Abmessung: 235mm x 155mm x 12mm
• Gewicht: 329g
• ISBN-13: 9789462391260
• ISBN-10: 9462391262
• Artikelnr.: 42416563

Inhaltsangabe

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.