100 citations · 100 across the 3 of their papers we have counts for
3 papers
math.DS2011
Neural networks with non-smooth and impact activations
M. U. Akhmet, E. Yilmaz
In this paper, we consider a model of impulsive recurrent neural networks with piecewise constant delay. The dynamics are presented by differential equations with discontinuities s…
math.GM2006★ 100 cited
On the reduction principle for differential equations with piecewise constant argument of generalized type
M. U. Akhmet
In this paper we introduce a new type of differential equations with piecewise constant argument (EPCAG), more general than EPCA. The Reduction Principle is proved for EPCAG. The s…
math.DS2005
Integral manifolds of differential equations with piecewise constant argument of generalized type
Marat Akhmet
In this paper we introduce a general type of differential equations with piecewise constant argument (EPCAG), and consider the problem of backward continuation of solutions. We est…