Positive periodic solution for Nicholson’s blowfies systems with patch structure
A generalized Nicholson blowfies system with patch structure is studied. Some existence and asymptotic stability results of the positive periodic solution to the considered system are obtained by coincidence degree theory and some analysis techniques ...
Feng Duan, Bo Du
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An exact expression of positive periodic solution for a first-order singular equation
The main purpose of this paper is to obtain an exact expression of the positive periodic solution for a first-order differential equation with attractive and repulsive singularities.
Yun Xin, Xiaoxiao Cui, Jie Liu
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Positive periodic solutions for discrete time-delay hematopoiesis model with impulses
The present article is devoted to the positive periodic solution for impulsive discrete hematopoiesis model. This model is described by a first-order nonlinear difference equation with multiple delays and impulses.
Yan Yan
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Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System [PDF]
A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition, an example and numerical simulations are presented to illustrate and substantiate the results of ...
Heping Ma, Jianguo Gao, Lingling Xie
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Positive periodic solutions of a delayed model in population
The authors consider a generalization of some population growth model in the form of a logistic equation with a countable number of delayed terms. This generalization is due to the presence of nonconstant periodic delays and of a convolution term. The authors prove the existence of a positive periodic solution by using the coincidence degree argument.
Chang-Jian Zhao +2 more
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New existence results for coupled delayed differential systems with multi-parameters
In this paper, several novel existence and multiplicity results are established for a coupled functional differential system with multi-parameters.
Ruipeng Chen, Xiaoya Li
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Positive Periodic Solution of Second-Order Coupled Systems with Singularities
This paper establishes the existence of periodic solution for a kind of second-order singular nonautonomous coupled systems. Our approach is based on fixed point theorem in cones. Examples are given to illustrate the main result.
Tiantian Ma
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Positive periodic solution for indefinite singular Liénard equation with p-Laplacian
The efficient conditions guaranteeing the existence of positive T-periodic solution to the p-Laplacian–Liénard equation (ϕp(x′(t)))′+f(x(t))x′(t)+α1(t)g(x(t))=α2(t)xμ(t), $$\bigl(\phi _{p}\bigl(x'(t)\bigr) \bigr)'+f \bigl(x(t)\bigr)x'(t)+\alpha _{1}(t)g ...
Tiantian Zhou, Bo Du, Haiqing Du
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Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations
We study the existence of a positive periodic solution for second-order singular semipositone differential equation by a nonlinear alternative principle of Leray-Schauder.
Xiumei Xing
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In this paper, we investigate the following Schrödinger equation \begin{equation*} -\Delta u+V(x)u=\lambda f(u) \quad {\rm in} \ \mathbb{R}^N, \end{equation*} where $N\geq 3$, $\lambda>0$, $V$ is an asymptotically periodic potential and the nonlinearity
Gui-Dong Li, Yong-Yong Li, Chun-Lei Tang
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