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Stability of Neutral Functional Differential Equations

Michael I. Gil' (Autor)

Buch | Hardcover

304 Seiten

2014
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-090-4 (ISBN)

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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.

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