一类变时滞差分方程的振动性

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 87-93.

一类变时滞差分方程的振动性

1. Department of Mathematics, Central South University2. School of Math-ematics and Physics, Nanhua University

收稿日期:2005-09-26 出版日期:2009-03-30 发布日期:2023-09-08
作者简介:TAN Qiong-hua(1965- ), male, native of Leiyang, Hunan, an associate professor of Nanhua University, a doctoral student of Central South University, engages in differential equation; CHEN Ming(1956-), male, native of Qidong, Hunan, an associate professor of Nanhua University, engages in differential equat ion.
基金资助:

Oscillation in a Variable Delay Logistic Difference Equation

1. Department of Mathematics, Central South University2. School of Math-ematics and Physics, Nanhua University

Received:2005-09-26 Online:2009-03-30 Published:2023-09-08
About author:TAN Qiong-hua(1965- ), male, native of Leiyang, Hunan, an associate professor of Nanhua University, a doctoral student of Central South University, engages in differential equation; CHEN Ming(1956-), male, native of Qidong, Hunan, an associate professor of Nanhua University, engages in differential equat ion.

摘要/Abstract

摘要： Consider the nonautonomous delay logistic equation △y_n = p_ny_n(1-(y_n-l_n)), n ≥ 0, (1)where {p_n}n≥0 is a sequence of nonnegative real numbers, {l_n}n≥0 is a sequence of positive integers satisfying lim n→∞(n - l_n) = ∞, and k is a positive constant. Only solutions which are positive for n ≥ 0 are considered. We obtain a new sufficient for all positive solutions of (1) to oscillate about k which contains the corresponding result in [2] when i = 1.

关键词: variable delay, Logistic difference equation, positive solution, oscillation

Abstract: Consider the nonautonomous delay logistic equation △y_n = p_ny_n(1-(y_n-l_n)), n ≥ 0, (1)where {p_n}n≥0 is a sequence of nonnegative real numbers, {l_n}n≥0 is a sequence of positive integers satisfying lim n→∞(n - l_n) = ∞, and k is a positive constant. Only solutions which are positive for n ≥ 0 are considered. We obtain a new sufficient for all positive solutions of (1) to oscillate about k which contains the corresponding result in [2] when i = 1.

Key words: variable delay, Logistic difference equation, positive solution, oscillation

中图分类号:

O175.7

谭琼华, 陈明. 一类变时滞差分方程的振动性[J]. 数学季刊, 2009, 24(1): 87-93.

TAN Qiong-hua, CHEN Ming. Oscillation in a Variable Delay Logistic Difference Equation[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 87-93.

[1]	宋雪, 杨赟瑞, 杨璐. 一个三阶 m 点边值问题的三个正解 [J]. 数学季刊, 2021, 36(4): 369-375.
[2]	李振辉, 许丽萍. 一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性[J]. 数学季刊, 2021, 36(1): 49-66.
[3]	王万鹏. 四阶p-Laplacian边值问题正解的存在性[J]. 数学季刊, 2018, 33(4): 377-385.
[4]	陆海霞. 四阶弹性梁方程特征值问题正解的存在性[J]. 数学季刊, 2017, 32(1): 7-15.
[5]	谭惠轩, 封汉颍, 冯杏芳, 杜亚涛. 带p-Laplacian算子的三阶三点边值问题的三个正解[J]. 数学季刊, 2015, 30(1): 55-65.
[6]	杨甲山. 时间测度链上三阶时滞动力方程的振动性[J]. 数学季刊, 2014, 29(3): 447-456.
[7]	张豫川, 周宗福. 带有p-Laplacian算子的四阶时滞微分方程边值问题的正解[J]. 数学季刊, 2014, 29(2): 171-179.
[8]	李耀红. 无穷区间上具积分边值条件的二阶非线性奇异微分方程组正解存在性[J]. 数学季刊, 2014, 29(1): 55-64.
[9]	张豫川, 周宗福, 徐鑫. 一类三阶非线性微分方程耦合系统边值问题的正解[J]. 数学季刊, 2013, 28(4): 522-531.
[10]	黄先勇, 徐志庭. 一类二阶脉冲中立型微分方程的振动性质[J]. 数学季刊, 2013, 28(4): 592-604.
[11]	杨甲山. 时间测度链上二阶非线性动力方程的振动性[J]. 数学季刊, 2013, 28(2): 172-179.
[12]	张丰盘, 路金瑞, 刘志广. 由microRAN介导的具有时滞负反馈环的基因振荡表达[J]. 数学季刊, 2013, 28(2): 303-310.
[13]	洪鹏花, 翁佩萱. 个离散造血模型概周期解的吸引性和振动性[J]. 数学季刊, 2013, 28(1): 20-26.
[14]	韩仁基, 葛建生, 蒋威. 高阶非线性分数阶微分方程三点边值问题正解的存在性[J]. 数学季刊, 2012, 27(4): 516-525.
[15]	宋常修. 一阶时标动态方程周期边值问题的正解[J]. 数学季刊, 2012, 27(3): 337-343.