𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability analysis of a mathematical model in a microcosm with piecewise constant arguments

✍ Scribed by Öztürk, I.; Bozkurt, F.; Gurcan, F.


Book ID
122396272
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
604 KB
Volume
240
Category
Article
ISSN
0025-5564

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Stability analysis of recurrent neural n
✍ M.U. Akhmet; D. Aruğaslan; E. Yılmaz 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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

Global convergence in a reaction-diffusi
✍ H.M. Byrne; S.A. Gourley 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 346 KB

In this paper, we consider the reaction-diffusion equation with piecewise constant argument on a finite domain, with r, E, D > 0. By employing the method of sub-and super-solutions we prove that, under the condition E < r(1 -exp(-r)), all solutions with positive initial data converge to the positiv