Abstract
We consider semilinear difference equations in a Banach space. It is assumed that the nonlinearities of the considered equations satisfy the local Lipschitz condition. By virtue of the recent estimates for the norm of functions of quasi-Hermitian operators, explicit stability and boundedness conditions are given. Applications to infinite dimensional difference systems are discussed.
Original language | English |
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Pages (from-to) | 10-15 |
Number of pages | 6 |
Journal | Applied Mathematics E - Notes |
Volume | 5 |
State | Published - 18 Mar 2005 |
ASJC Scopus subject areas
- Applied Mathematics