Wright type delay differential equations with negative Schwarzian
نویسندگان
چکیده
منابع مشابه
Wright Type Delay Differential Equations with Negative Schwarzian
We prove that the well-known 3/2 stability condition established for the Wright equation (WE) still holds if the nonlinearity p(exp(−x)−1) in WE is replaced by a decreasing or unimodal smooth function f with f (0) < 0 satisfying the standard negative feedback and below boundedness conditions and having everywhere negative Schwarz derivative.
متن کاملDichotomy results for delay differential equations with negative Schwarzian derivative
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. We present some dichotomy results, which allow us to get easily computable bounds of the global attractor. We also discuss related conjectures, and formulate new op...
متن کاملPeriodicity in a System of Differential Equations with Finite Delay
The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.
متن کاملDelay Differential Equations
where x t ( ) x (t ) and 0. Observe that xt ( ) with 0 represents a portion of the solution trajectory in a recent past. Here, f is a functional operator that takes a time input and a continuous function xt ( ) with 0 and generates a real number (dx (t )/dt ) as its output. A well-known example of a delay differential equation is the Hutchinson equation, or the discrete delay logistic equation,...
متن کاملComputational Method for Fractional-Order Stochastic Delay Differential Equations
Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2002
ISSN: 1078-0947
DOI: 10.3934/dcds.2003.9.309