Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502989 | Journal of Mathematical Analysis and Applications | 2005 | 19 Pages |
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
M.I. Gil',