Title of article
Stability of abstract nonlinear nonautonomous differential–delay equations with unbounded history-responsive operators
Author/Authors
M.I. Gil، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
19
From page
140
To page
158
Abstract
We consider a class of nonautonomous functional–differential equations in a Banach space with
unbounded nonlinear history-responsive operators, which have the local Lipshitz property. Conditions
for the boundedness of solutions, Lyapunov stability, absolute stability and input–output one
are established. Our approach is based on a combined usage of properties of sectorial operators and
spectral properties of commuting operators.
2004 Elsevier Inc. All rights reserved
Keywords
Abstract nonlinear differential–delay equations , Absolute stability , Lyapunov stability , Input–outputstability , Boundedness of solutions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
933965
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