Results 41 to 50 of about 527 (114)

An extension of Horn′s theorem for a space of locally integrable functions

International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 635-640, 1992., 1991
In this paper we extend the fixed point theorem of Horn′s to the space of locally integrable functions from (−∞, 0] into a Banach space X.
Hernan R. Henriquez, Eduardo A. Hernandez   +1 more
wiley   +1 more source

Functional differential equations with infinite delay in Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 497-508, 1991., 1990
In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being exponentially stable in abstract phase spaces which satisfy some suitable hypotheses are obtained.
Jin Liang, Tijun Xiao
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

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

Hopf bifurcation in a dynamic IS-LM model with time delay [PDF]

, 2005
In this paper we investigate the impact of delayed tax revenues on the fiscal policy out-comes. Choosing the delay as a bifurcation parameter we study the direction and the stability of the bifurcating periodic solutions.
Chilarescu, Constantin, Neamtu, Mihaela, Opris, Dumitru   +2 more
core   +2 more sources

Existence and Controllability for Second‐Order Functional Differential Equations With Infinite Delay and Random Effects

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, Tharmalingam Gunasekar, Ammar Alsinai, Prabakaran Raghavendran, Read S. A. Qahtan, Elena Kaikina   +5 more
wiley   +1 more source

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

Dichotomy results for delay differential equations with negative Schwarzian

, 2008
We gain further insight into the use of the Schwarzian derivative to obtain new results for a family of functional differential equations including the famous Wright's equation and the Mackey-Glass type delay differential equations.
an der Heiden, Collet, Diekmann, Eduardo Liz, Enciso, Gergely Röst, Gopalsamy, Gurney, Györi, Hadeler, Hale, Ivanov, Ivanov, Jones, Krisztin, Krisztin, Kuang, Lani-Wayda, Liz, Liz, Liz, Liz, Mackey, Mallet-Paret, Mallet-Paret, Mallet-Paret, Röst, Seifert, Singer, Smith, Stoffer, Walther, Walther, Wright, Xie   +34 more
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

UNIFORM STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF THE THIRD ORDER [PDF]

, 2013
In this paper, a complete Lyapunov functional was con- structed and used to obtain criteria (when p = 0) for uniform asymptotic stability of the zero solution of the nonlinear delay differential equation (1.1).
Adeleke Timothy, Ademora, Peter Olutola, Arawamo   +1 more
core   +1 more source