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State-Dependent Impulses = Boundary Value Problems on Compact Interval /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	State-Dependent Impulses/ by Irena Rachůnková, Jan Tomeček.
其他題名:	Boundary Value Problems on Compact Interval /
作者:	Rachůnková, Irena.
其他作者:	Tomeček, Jan.
面頁冊數:	XV, 190 p. 7 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.2991/978-94-6239-127-7
ISBN:	9789462391277

State-Dependent Impulses = Boundary Value Problems on Compact Interval /
Rachůnková, Irena.

State-Dependent ImpulsesBoundary Value Problems on Compact Interval /[electronic resource] :by Irena Rachůnková, Jan Tomeček. - 1st ed. 2015. - XV, 190 p. 7 illus.online resource. - Atlantis Briefs in Differential Equations,62405-6405 ;. - Atlantis Briefs in Differential Equations,6.

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:

527664
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

State-Dependent Impulses = Boundary Value Problems on Compact Interval /
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