Almost-periodic solution for BAM neural networks
Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0
Abstract
In this paper, we study the existence and uniqueness solution and investigate the conditions that make it almost-periodic solution for BAM neural networks with retarded delays. The existence of solution established by using Schauder fixed point theorem. The uniqueness established by using Banach fixed point theorem. Moreover we study the parametric stability of such a solution. Also we illustrate our results with an example.
Authors and Affiliations
Hamid Jalab, Rabha Ibrahim
Neumann system and hyperelliptic al functions
This article shows that the Neumann dynamical system is described well in terms of the Weierstrass hyperelliptic al functions. The descriptions are very primitive; their proofs are provided only by residual computations...
Uniformly continuous functions on non-Hausdorff groupoids
The purpose of this paper is to study the notion of uniform continuity introduced in [M. Buneci, Haar systems and homomorphism on groupoids, Operator algebras and mathematical physics, 35-49, Theta, Bucharest, 2003]. For...
Positive definite solution of two kinds of nonlinear matrix equations
Based on the elegant properties of the Thompson metric, we prove that the following two kinds of nonlinear matrix equations X=<I>Σ<SUB>i=1</SUB><SUP>m</SUP></I> A<SUB>i</SUB&g...
Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations
In this paper an efficient modification of Adomian decomposition method is introduced for solving singular initial value problem in the second-order ordinary differential equations. The scheme is tested for some examples...
Characterization of the order relation on the set of completely n-positive linear maps between C*-algebras
In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C<sup>*</sup>-algebras in terms of a self-dual Hilbert module induced by each complet...