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State-dependent impulses = boundary value problems on compact interval /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	State-dependent impulses/ by Irena Rachunkova, Jan Tomecek.
Reminder of title:	boundary value problems on compact interval /
Author:	Rachunkova, Irena.
other author:	Tomecek, Jan.
Published:	Paris :Atlantis Press : : 2015.,
Description:	xv, 190 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Ordinary Differential Equations. -
Online resource:	http://dx.doi.org/10.2991/978-94-6239-127-7
ISBN:	9789462391277

State-dependent impulses = boundary value problems on compact interval /
Rachunkova, Irena.

State-dependent impulsesboundary value problems on compact interval /[electronic resource] :by Irena Rachunkova, Jan Tomecek. - Paris :Atlantis Press :2015. - xv, 190 p. :ill., digital ;24 cm. - Atlantis briefs in differential equations,v.62405-6405 ;. - Atlantis briefs in differential equations ;v.1..

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.

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.

ISBN: 9789462391277

Standard No.: 10.2991/978-94-6239-127-7doiSubjects--Topical Terms:

670854
Ordinary Differential Equations.

LC Class. No.: QA379

Dewey Class. No.: 515.35

State-dependent impulses = boundary value problems on compact interval /
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505 0 $a 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.
520 $a 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.
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