State-Dependent Impulses : Boundary Value Problems on Compact Interval / / by Irena Rachůnková, Jan Tomeček
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| Autore: |
Rachůnková Irena
|
| Titolo: |
State-Dependent Impulses : Boundary Value Problems on Compact Interval / / by Irena Rachůnková, Jan Tomeček
|
| Pubblicazione: | Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2015 |
| Edizione: | 1st ed. 2015. |
| Descrizione fisica: | 1 online resource (194 p.) |
| Disciplina: | 510 |
| Soggetto topico: | Differential equations |
| Differential Equations | |
| Persona (resp. second.): | TomečekJan |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | State-Dependent Impulses |
| ISBN: | 94-6239-127-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300253003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Atlantis Briefs in Differential Equations, . 2405-6413 ; ; 6