Results 261 to 270 of about 23,117 (284)

Stochastic Gilpin–Ayala competition model with infinite delay

Applied Mathematics and Computation, 2011
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Maja Vasilova, Miljana Jovanovic
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Retarded equations with infinite delays

1979
It is the purpose of these notes to describe the theory of Hale and Kato for functional differential equations based on a space of initial data which satisfy some very reasonable axioms. We also indicate some recent results of Naito showing how extensive the theory of linear systems can be developed in an abstract setting in particular, the ...
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On the qualitative analysis of Volterra IDDEs with infinite delay

2020
Summary: This investigation deals with a nonlinear Volterra integro-differential equation with infinite retardation (IDDE). We will prove three new results on the stability, uniformly stability (US) and square integrability (SI) of solutions of that IDDE. The proofs of theorems rely on the use of an appropriate Lyapunov-Krasovskii functional (LKF).
Tunc, Osman, Korkmaz, Erdal, Atan, Ozkan
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Output regulation of infinite-dimensional time-delay systems

2017 American Control Conference (ACC), 2017
We study output tracking and disturbance rejection for linear infinite-dimensional time-delay systems using dynamic error feedback controllers with state delays. The class of systems covers many partial differential equations with state, input, and output delays.
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ESTIMATES FOR SOLUTIONS OF A BIOLOGICAL MODEL WITH INFINITE DISTRIBUTED DELAY

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
A model of competition between several microorganism species described by a system of nonlinear differential equations with infinite distributed delay is considered. The case of asymptotic stability of the equilibrium point corresponding to the survival of only one species and the extinction of all others is studied.
Iskakov, T. K., Skvortsova, M. A.
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Stability and Boundedness for Equations with Infinite Delay

1994
This chapter is devoted to the investigation of stability and boundedness results of equations with infinite memory. We shall first discuss, in Sections 6.1 to 6.3, FDE with infinite delay and develop, in the general setup of two different measures, criteria for stability and boundedness.
V. Lakshmikantham, Lizhi Wen, Binggen Zhang   +2 more
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Delay Equations in Infinite-Dimensional Spaces

2015
Our main goal in this chapter is to demonstrate how the method developed in Chapters 2 and 3 can be applied to study qualitative dynamics of abstract evolution equations containing delay terms. These equations naturally arise in various applications, such as viscoelasticity, nuclear reactors, heat flow, neural networks, combustion, interaction of ...
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Exponential stabilization by delay feedback control for highly nonlinear hybrid stochastic functional differential equations with infinite delay

Nonlinear Analysis: Hybrid Systems, 2021
Chunhui Mei, Chen Fei, Weiyin Fei
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Semilinear Parabolic Equations with Infinite Delay

1985
We shall deal with an abstract semilinear evolution equation $$\dot u\left( t \right) + Au\left( t \right) = F\left( {t,u} \right),{u_0} = \varphi ,$$ (1) with infinite delay, i.e., ut denotes a function ut(s) = u(t+s) on the interval (− ∞, 0]. The motivation for the study of such equations comes partly from theoretical biology.
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Existence and uniqueness for fractional neutral differential equations with infinite delay

Nonlinear Analysis: Theory, Methods & Applications, 2009
Yong Zhou
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