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.

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