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Stability of differential equations with piecewise constant arguments of generalized type

✍ Scribed by M.U. Akhmet


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
228 KB
Volume
68
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Differential equations with state-depend
✍ M.U. Akhmet; C. BΓΌyΓΌkadalΔ± πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 492 KB

A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations-the existence and uniqueness of solutions, the existence of periodic solutions, and

Stability analysis of recurrent neural n
✍ M.U. Akhmet; D. Aruğaslan; E. YΔ±lmaz πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 456 KB

In this paper, we apply the method of Lyapunov functions for differential equations with piecewise constant argument of generalized type to a model of recurrent neural networks (RNNs). The model involves both advanced and delayed arguments. Sufficient conditions are obtained for global exponential s