Stability of Neutral Functional Differential Equations
Seiten
2014
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-090-4 (ISBN)
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-090-4 (ISBN)
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.
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.
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.
| Reihe/Serie | Atlantis Studies in Differential Equations ; 3 |
|---|---|
| Zusatzinfo | XIII, 304 p. |
| Verlagsort | Paris |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Algebra | |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| ISBN-10 | 94-6239-090-8 / 9462390908 |
| ISBN-13 | 978-94-6239-090-4 / 9789462390904 |
| Zustand | Neuware |
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