Oscillation in a Variable Delay Logistic Difference Equation

作     者：TAN Qiong-hua CHEN Ming TAN Qiong-hua;CHEN Ming

作者机构：Department of Mathematics Central South University Changsha 410075 China School of Mathematics and Physics Nanhua University Hengyang 421001 China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2009年第24卷第1期

页      面：87-93页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：variable delay Logistic difference equation positive solution oscillation 

摘      要：Consider the nonautonomous delay logistic equation △yn=pnyn（1-yn-ln/k）,n≥0, where {Pn}n≥0 is a sequence of nonnegative real numbers, {In}n≥0 is a sequence of positive integers satisfying n→∞lim（n-ln）=∞, 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.