In this paper a CNN vector-disease model is investigated from the point of view of its dynamics. Existence of the travelling waves for such model is proved.
Dynam}c behav}or of a new class of information-processing systems called Cellular Neural Networks s investigated. In th}s paper we introduce a small parameter n the state equat}on of a cellular neural network and we seek for period}c phenomena. New approach is used for proving stability of a cellular neural network by constructing Lyapunov's major}z}ng… (More)
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract This paper revisits some solution methods for Black-Scholes equation and some of its nonlinear versions arising in option pricing theory.