We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On exponential stability of nonlinear Volterra difference equations in phase spaces.
- Authors
Ngoc, Pham Huu Anh; Hieu, Le Trung
- Abstract
Using a novel approach, we present some new explicit criteria for global exponential stability of the zero solution of general nonlinear Volterra difference equations in phase spaces. In particular, this gives a solution to an open problem posed very recently by E. Braverman and I. M. Karabash in Journal of Difference Equations and Applications 18, 909-939 (2012). As an application, we apply the obtained results to study asymptotic behavior of equilibriums of discrete time neural networks.
- Subjects
EXPONENTIAL stability; VOLTERRA equations; DIFFERENCE equations; NONLINEAR equations; MATHEMATICAL research
- Publication
Mathematische Nachrichten, 2015, Vol 288, Issue 4, p443
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.201400093