Results 51 to 60 of about 507 (97)
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
Uniform practical stability in terms of two measures with effect of delay at the time of impulses
Nonlinear Engineering, 2016 In this paper, some sufficient conditions for uniform practical stability of impulsive functional differential equations in terms of two measures with effect of delay at the time of impulses are obtained by using piecewise continuous Lyapunov functions ...
Singh Palwinder +2 more
doaj +1 more source
Subexponential solutions of scalar linear integro-differential equations with delay [PDF]
, 2004 This paper considers the asymptotic behaviour of solutions of the scalar linear convolution integro-differential equation with delay x0(t) = − n Xi=1 aix(t − i) + Z t 0 k(t − s)x(s) ds, t > 0, x(t) = (t), − t 0, where = max1in i.
Appleby, John A.D. +2 more
core
Global Attractivity of a Circadian Pacemaker Model in a Periodic Environment [PDF]
, 2005 In this paper, we propose a delay differential equation with continuous periodic parameters to model the circadian pacemaker in a periodic environment. First, we show the existence of a positive periodic solution by using the theory of coincidence degree.
Chen, Yuming, Wang, Lin
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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
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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 +1 more
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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
Stability of neutral delay differential equations modeling wave propagation in cracked media [PDF]
, 2014 International audiencePropagation of elastic waves is studied in a 1D medium containing N cracks modeled by nonlinear jump conditions. The case N = 1 is fully understood.
Junca, Stéphane, Lombard, Bruno
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