Results 41 to 50 of about 114 (107)

Neural networks with memory

International Journal of Stochastic Analysis, Volume 4, Issue 4, Page 313-332, 1991., 1991
This paper is divided into four parts. Part 1 contains a survey of three neural networks found in the literature and which motivate this work. In Part 2 we model a neural network with a very general integral form of memory, prove a boundedness result, and obtain a first result on asymptotic stability of equilibrium points.
T. A. Burton
wiley   +1 more source

ASYMPTOTIC STABILITY OF A NEUTRAL DIFFERENTIAL EQUATION

, 2002
The uniform stability of the zero solution and the asymptotic behaviour of all solutions of the neutral delay differential equation$$ [x(t)-P(t)x(t-\tau)]'+Q(t)x(t-\sigma)=0,\quad t\ge t_0, $$are investigated, where $\tau,\sigma\in(0,\infty)$, $P\in C ...
Xingfu Zou, X. H. Tang
core   +1 more source

Reducible functional differential equations

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 1-27, 1985., 1985
This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general argument deviations.
S. M. Shah, Joseph Wiener
wiley   +1 more source

Almost periodic dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

Open Mathematics
In this study, we are concerned with the existence and exponential stability issue of a delayed differential neoclassical growth model with discontinuous control strategy.
Wang Qian, Wang Wei, Zhan Qian
doaj   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

On the stability of a Cauchy type functional equation

Demonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye, Najati Abbas, Park Choonkil, Rassias Themistocles M.   +3 more
doaj   +1 more source

Mathematical model on influence of past experiences on present activities of human brain

Computational and Mathematical Biophysics
This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara, Ratnam K. Venkata, Shirisha G.   +2 more
doaj   +1 more source

Characteristic matrices for linear periodic delay differential equations

, 2011
. Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients.
Sieber, Jan, Jan Sieber, Sieber, J., Szalai, R, Szalai, R., Robert Szalai   +5 more
core   +1 more source

Feedback regulation of logistic growth

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 177-192, 1993.
K. Gopalsamy, Pei-Xuan Weng
wiley   +1 more source

Stability analysis of neutral type systems in Hilbert space

, 2005
34K06, 34K20, 34K40, 93C23International audienceThe asymtoptic stability properties of neutral type systems are studied mainly in the critical case when the exponential stability is not possible.
Sklyar, Grigory, M., Sklyar, Grigory,, Sklyar, G.M., Rezounenko, Aleksandr, V., Rezounenko, A.V., Rezounenko, Aleksandr,, Rabah, Rabah, Rabah, R.   +7 more
core   +1 more source