Results 51 to 60 of about 669 (121)
Exponential stabilization of uncertain nonlinear time-delay systems
Advances in Differential Equations, 2012 This paper is concerned with the problem of exponential stabilization for a class of uncertain nonlinear systems with state delay by means of periodically intermittent control.
Yali Dong, Jinying Liu
semanticscholar +1 more source
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 +1 more
wiley +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
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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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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
Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays
, 2014 In this paper, we deal with a discrete Lotka-Volterra predator-prey model with time-varying delays. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained by using ...
Changjin Xu, Yusen Wu, Lin Lu
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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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Almost periodic solution for a delayed Lotka-Volterra system on time scales
, 2014 This paper is concerned with a delayed Lotka-Volterra system on time scales. By using the theory of exponential dichotomy on time scales and fixed point theory based on monotone operator, some simple conditions are obtained for the existence and ...
Yongzhi Liao, Lijun Xu
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