Stability of Neutral Functional Differential Equations

• Main Author: Gil', Michael I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2014.
• Series: Atlantis Studies in Differential Equations, 3
• Subjects: Mathematics.; Matrix theory.; Algebra.; Difference equations.; Functional equations.; System theory.; Difference and Functional Equations.; Systems Theory, Control.; Linear and Multilinear Algebras, Matrix Theory.

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-v...

Table of Contents:

• 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.