State-Dependent Impulses: Boundary Value Problems on Compact Interval by Irena Rachå¯nkovState-Dependent Impulses: Boundary Value Problems on Compact Interval by Irena Rachå¯nkov

State-Dependent Impulses: Boundary Value Problems on Compact Interval

byIrena Rachå¯nkov, Jan Tome

Paperback | October 9, 2015

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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.

Title:State-Dependent Impulses: Boundary Value Problems on Compact IntervalFormat:PaperbackDimensions:190 pagesPublished:October 9, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9462391262

ISBN - 13:9789462391260

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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.