Article ID Journal Published Year Pages File Type
9502989 Journal of Mathematical Analysis and Applications 2005 19 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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