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Stability of Neutral Functional Differential Equations

Medium: Buch
ISBN: 978-94-6239-090-4
Verlag: Atlantis Press
Erscheinungstermin: 24.10.2014
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9789462390904
  • Medium: Buch
  • ISBN: 978-94-6239-090-4
  • Verlag: Atlantis Press
  • Erscheinungstermin: 24.10.2014
  • Sprache(n): Englisch
  • Auflage: 2014
  • Serie: Atlantis Studies in Differential Equations
  • Produktform: Gebunden
  • Gewicht: 6033 g
  • Seiten: 304
  • Format (B x H x T): 160 x 241 x 23 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.