State-Dependent Impulses Boundary Value Problems on Compact Interval /
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 proble...
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| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2015.
|
| Edition: | 1st ed. 2015. |
| Series: | Atlantis Briefs in Differential Equations,
6 |
| Subjects: | |
| Online Access: | https://doi.org/10.2991/978-94-6239-127-7 |
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| 001 | 978-94-6239-127-7 | ||
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| 020 | |a 9789462391277 |9 978-94-6239-127-7 | ||
| 024 | 7 | |a 10.2991/978-94-6239-127-7 |2 doi | |
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| 100 | 1 | |a Rachůnková, Irena. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a State-Dependent Impulses |h [electronic resource] : |b Boundary Value Problems on Compact Interval / |c by Irena Rachůnková, Jan Tomeček. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2015. | |
| 300 | |a XV, 190 p. 7 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Atlantis Briefs in Differential Equations, |x 2405-6405 ; |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 Differential equations. | |
| 650 | 1 | 4 | |a Ordinary Differential Equations. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12147 |
| 700 | 1 | |a Tomeček, Jan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789462391260 |
| 776 | 0 | 8 | |i Printed edition: |z 9789462391284 |
| 830 | 0 | |a Atlantis Briefs in Differential Equations, |x 2405-6405 ; |v 6 | |
| 856 | 4 | 0 | |u https://doi.org/10.2991/978-94-6239-127-7 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||