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.
• Physical Description: XIII, 304 p. online resource.
• ISBN: 9789462390911
• ISSN: 2214-6253 ;

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.