Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input.
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections
We describe the global dynamics of a disease transmission model between two regions which are connected via bidirectional or unidirectional transportation, where infection occurs during the travel as well as within the regions. We define the regional reproduction numbers and the basic reproduction number by constructing a next generation matrix. If the two regions are connected via bidirectional transportation, the basic reproduction number characterizes the existence of equilibria as well as...
Global error estimation in the numerical solution of retarded differential equations by Euler's method
In this paper Zadunaisky's technique is used to estimate the global error propagated in the numerical solution of the system of retarded differential equations by Euler's method. Some numerical examples are given.
Global existence and controllability to a stochastic integro-differential equation.
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
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.
Global existence and stability of some semilinear problems
We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
Global existence of solutions of certain functional-differential equations
Global existence results for second order neutral functional differential equation with state-dependent delay
Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory.
Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect
This paper is concerned with a delayed single population model with hereditary effect. Under appropriate conditions, we employ a novel argument to establish a criterion of the global exponential stability of positive almost periodic solutions of the model. Moreover, an example and its numerical simulation are given to illustrate the main result.
Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales.
Global exponential stability of impulsive dynamical systems with distributed delays.
Global exponential stability of impulsive functional differential equations via Razumikhin technique.
Global exponential stability of periodic oscillation for nonautonomous BAM neural networks with distributed delay.
Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a -pseudo almost automorphic solution. The...
Global solutions for a functional second order abstract Cauchy problem with nonlocal conditions
By using the theory of strongly continuous cosine families and the properties of completely continuous maps, we study the existence of mild, strong, classical and asymptotically almost periodic solutions for a functional second order abstract Cauchy problem with nonlocal conditions.
Global solutions for abstract functional differential equations with nonlocal conditions.
Global Solutions of Ordinary Differential Equations with Lag.
Global stability for a delayed predator-prey system with stage structure for the predator.
Global stability of delayed Hopfield neural networks under dynamical thresholds.