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
Enclosing roots of polynomial equations and their applications to iterative processes
We introduce a special class of real recurrentpolynomials f<SUB>n</SUB> (n ≥ 1) of degree n,with unique positive roots s<SUB>n</SUB>, which are decreasingas n increases. The first root s<SUB>...
Fixed point theorems for generalized weakly contractive mappings
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family...
Existence and uniqueness of the solution of the coupled conduction-radiation energy transfer on diffuse-gray surfaces
This article gives very significant and up-to-date analytical results on the conductive-radiative heat transfer model containing two conducting and opaque materials which are in contact by radiation through a transparent...
On certain Baskakov-Durrmeyer type operators
This paper is a study of the degree of approximation by the linear combinations of the derivatives of certain Durrmeyer type integral modification of the Baskakov operators in terms of the higher order modulus of smoothn...
Higher *-derivations between unital C*-algebras
Let A, B be two unital C<SUP>*</SUP>-algebras. We prove that every sequence of mappings from A into B, H = {h<SUB>0</SUB>,h<SUB>1</SUB>, ..., h<SUB>m</SUB>, ...}, which sat...