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141008s2014 fr | o |||| 0|eng d |
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|z 9789462390904
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|a 9789462390911 (online)
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|a (EBZ)ebs3976153e
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|a msc
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|a QA431
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|a Gil', Michael I.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
1 |
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|a Stability of Neutral Functional Differential Equations
|h [electronic resource]
|c by Michael I. Gil'.
|
| 250 |
|
|
|a 1st ed. 2014.
|
| 264 |
|
1 |
|a Paris :
|b Atlantis Press :
|b Imprint: Atlantis Press,
|c 2014.
|
| 490 |
1 |
|
|a Atlantis Studies in Differential Equations,
|x 2214-6261 ;
|v 3
|
| 505 |
0 |
|
|a Preliminaries -- Eigenvalues and Functions of Matrices -- Difference Equations with Continuous Time -- Linear Differential Delay Equations -- Linear Autonomous NDEs -- Linear Time-variant NDEs -- Nonlinear Vector NDEs -- Absolute Stability of Scalar NDEs -- Bounds for Characteristic Values of NDEs.
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| 520 |
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|a In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted to the solution of the generalized Aizerman problem.
|
| 650 |
|
0 |
|a Difference equations.
|
| 650 |
|
0 |
|a Functional equations.
|
| 650 |
|
0 |
|a System theory.
|
| 650 |
|
0 |
|a Control theory.
|
| 650 |
|
0 |
|a Algebras, Linear.
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer English/International eBooks 2014 - Full Set
|d Springer Nature
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9789462390928
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9789462390904
|
| 776 |
1 |
|
|t Stability of Neutral Functional Differential Equations
|
| 830 |
|
0 |
|a Atlantis Studies in Differential Equations,
|x 2214-6261 ;
|v 3
|
| 856 |
4 |
0 |
|y Access Content Online(from Springer English/International eBooks 2014 - Full Set)
|u https://ezproxy.msu.edu/login?url=https://link.springer.com/10.2991/978-94-6239-091-1
|z Springer English/International eBooks 2014 - Full Set: 2014
|
