Stability of Neutral Functional Differential Equations
Buch in deiner Nähe kaufen
Beschreibung
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.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.Gives an approach based on estimates for matrix-valued functions which allows the investigation of various classes of equations from a unified viewpoint Provides the reader with a solution of the generalized Aizerman problem for NDEs Explains to the reader the generalized Bohl-Perron principle for neutral type systems and its integral version Gives explicit stability conditions for semilinear equations with linear neutral type parts and nonlinear causal mappings Includes supplementary material: sn.pub/extras
Autor*in
Michael I. Gil'
Themen in »Stability of Neutral Functional Differential Equations«
Bohl-Perron principle Causal mappings Difference delay equations Neutral type functional differential equations Stability matrix theory