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State-Dependent Impulses, 1st ed. 2015 Boundary Value Problems on Compact Interval Atlantis Briefs in Differential Equations Series, Vol. 6

Langue : Anglais

Auteurs :

Couverture de l’ouvrage State-Dependent Impulses

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.

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.

New approach which helps the reader to decide about solvability of various boundary value problems with state-dependent impulses

Contains recent and unique existence results for state-dependent impulsive problems with general linear boundary conditions

Includes existence theorems for singular impulsive problems

Shows how to generalize presented existence results

Includes supplementary material: sn.pub/extras

Date de parution :

Ouvrage de 190 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

52,74 €

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