scholarly journals Multiple positive almost periodic solutions for some nonlinear integral equations

2018 ◽  
Vol 11 (05) ◽  
pp. 713-722
Author(s):  
Hui-Sheng Ding ◽  
Juan J. Nieto ◽  
Qiu-Feng Zou
Keyword(s):  
Periodic Solutions ◽  
Integral Equations ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Nonlinear Integral Equations ◽  
Positive Almost Periodic Solutions

scholarly journals Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Heping Ma ◽  
Jianguo Gao ◽  
Lingling Xie
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Function ◽  
Periodic Solutions ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Positive Periodic Solutions ◽  
Competitive System ◽  
Competitive Model ◽  
Uniformly Asymptotic Stability ◽  
Positive Almost Periodic Solutions

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 this paper.

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