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State-dependent impulses[electronic ...

Rachunkova, Irena.

State-dependent impulses[electronic resource] :boundary value problems on compact interval /

レコード種別:	言語・文字資料 (印刷物) : 単行資料
[NT 15000414] null:	515.35
タイトル / 著者:	State-dependent impulses : boundary value problems on compact interval // by Irena Rachunkova, Jan Tomecek.
著者:	Rachunkova, Irena.
その他の著者:	Tomecek, Jan.
出版された:	Paris : : Atlantis Press :, 2015.
記述:	xv, 190 p. : : ill., digital ;; 24 cm.
含まれています:	Springer eBooks
主題:	Boundary value problems.
主題:	Differential equations.
主題:	Mathematics.
主題:	Ordinary Differential Equations.
国際標準図書番号 (ISBN) :	9789462391277
国際標準図書番号 (ISBN) :	9789462391260
[NT 15000228] null:	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.
[NT 15000229] null:	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.
電子資源:	http://dx.doi.org/10.2991/978-94-6239-127-7

State-dependent impulses[electronic resource] :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:

404428
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.35

State-dependent impulses[electronic resource] :boundary value problems on compact interval /
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100 1 $a Rachunkova, Irena. $3 635779
245 1 0 $a State-dependent impulses $h [electronic resource] : $b boundary value problems on compact interval / $c by Irena Rachunkova, Jan Tomecek.
260 $a Paris : $b Atlantis Press : $b Imprint: Atlantis Press, $c 2015.
300 $a xv, 190 p. : $b ill., digital ; $c 24 cm.
490 1 $a Atlantis briefs in differential equations, $x 2405-6405 ; $v v.6
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.
650 0 $a Boundary value problems. $3 404428
650 0 $a Differential equations. $3 189741
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Ordinary Differential Equations. $3 465742
700 1 $a Tomecek, Jan. $3 635780
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Atlantis briefs in differential equations ; $v v.1. $3 606463
856 4 0 $u http://dx.doi.org/10.2991/978-94-6239-127-7
950 $a Mathematics and Statistics (Springer-11649)

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