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03164nam a22004575i 4500 |
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978-94-6239-127-7 |
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DE-He213 |
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20151030041251.0 |
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cr nn 008mamaa |
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150929s2015 fr | s |||| 0|eng d |
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|a 9789462391277
|9 978-94-6239-127-7
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|a 10.2991/978-94-6239-127-7
|2 doi
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|d GrThAP
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|a QA372
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|a PBKJ
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|a MAT007000
|2 bisacsh
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|a 515.352
|2 23
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|a Rachůnková, Irena.
|e author.
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|a State-Dependent Impulses
|h [electronic resource] :
|b Boundary Value Problems on Compact Interval /
|c by Irena Rachůnková, Jan Tomeček.
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| 250 |
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|a 1st ed. 2015.
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| 264 |
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1 |
|a Paris :
|b Atlantis Press :
|b Imprint: Atlantis Press,
|c 2015.
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| 300 |
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|a XV, 190 p. 7 illus.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Atlantis Briefs in Differential Equations,
|x 2405-6405 ;
|v 6
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| 505 |
0 |
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|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.
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|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.
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| 650 |
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0 |
|a Mathematics.
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| 650 |
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|a Differential equations.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Ordinary Differential Equations.
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| 700 |
1 |
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|a Tomeček, Jan.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9789462391260
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| 830 |
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|a Atlantis Briefs in Differential Equations,
|x 2405-6405 ;
|v 6
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.2991/978-94-6239-127-7
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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