Results 31 to 40 of about 73 (71)
International Journal of Differential Equations, Volume 2024, Issue 1, 2024.This paper investigates the existence and controllability of second‐order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions.
Srinivasan Madhumitha +5 more
wiley +1 more source
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
On the stability and uniform stability of retarded integro-differential equations
Alexandria Engineering Journal, 2018 In this paper, the authors obtain new sufficient conditions for stability (S) and uniform stability (US) of solutions of the first order retarded Volterra integro-differential equations (VIDEs) in the formx′=A(t)x+∫t-τtC(t,s)ϕ(s,x(s))ds+f(t,x,x(t-τ)).The
Cemil Tunç, Sizar Abid Mohammed
doaj +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
Advanced differential equations with piecewise constant argument deviations
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 4, Page 671-703, 1983., 1983 Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.
S. M. Shah, Joseph Wiener
wiley +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 +3 more
doaj +1 more source
Mathematical model on influence of past experiences on present activities of human brain
Computational and Mathematical BiophysicsThis 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 +2 more
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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
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
Nonautonomous Dynamical Systems, 2014 In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Baliki Abdessalam, Benchohra Mouffak
doaj +1 more source
Demonstratio MathematicaIn 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 +2 more
doaj +1 more source