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.
|Number of pages||6|
|Journal||Applied Mathematics E - Notes|
|State||Published - 18 Mar 2005|
ASJC Scopus subject areas
- Applied Mathematics