Nonlinear oscillations in a discrete diffusive neutral logistic equation
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of a Nonlocal Diffusive Logistic Equation
The long time behavior of a logistic-type equation modeling the motion of cells is investigated. The equation we consider takes into account birth and death processes using a simple logistic effect as well as a nonlocal motion of cells using a nonlocal Darcy's law with regular kernel. Using the periodic framework we first investigate the well-posedness of the problem before deriving some inform...
متن کاملGlobal Attractivity and Oscillations in a Periodic Delay - Logistic Equation
in which r and K are positive numbers; r is related to the reproduction of the species while K is related to the capacity of the environment to sustain the population. It is assumed that there is no immigration or emigration and other characteristics such as age dependence and interactions with other species are assumed to be not significant. Elementary analysis of (1.1) indicates that the solu...
متن کاملFreezing of Nonlinear Bloch Oscillations in Generalized Discrete Nonlinear Schrödinger Equation
The dynamics in a nonlinear Schrödinger chain in an homogeneous electric field is studied. We show that discrete translational invariant integrability-breaking terms can freeze the Bloch nonlinear oscillations and introduce new faster frequencies in their dynamics. These phenomena are studied by direct numerical integration and through an adiabatic approximation. The adiabatic approximation all...
متن کاملFreezing of nonlinear Bloch oscillations in the generalized discrete nonlinear Schrödinger equation.
The dynamics in a nonlinear Schrödinger chain in a homogeneous electric field is studied. We show that discrete translational invariant integrability-breaking terms can freeze the Bloch nonlinear oscillations and introduce new faster frequencies in their dynamics. These phenomena are studied by direct numerical integration and through an adiabatic approximation. The adiabatic approximation allo...
متن کاملA Nonlinear Neutral Periodic Differential Equation
In this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel’skĭı’s fixed point theorem for the sum of a completely continuous operator and a contraction.
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: Tohoku Mathematical Journal
سال: 1996
ISSN: 0040-8735
DOI: 10.2748/tmj/1178225339