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一类变时滞差分方程的振动性(英文)

Oscillation in a Variable Delay Logistic Difference Equation

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【作者】 谭琼华陈明

【Author】 TAN Qiong-hua1,2, CHEN Ming2 (1.Department of Mathematics, Central South University, Changsha 410075, China; 2.School of Math-ematics and Physics, Nanhua University, Hengyang 421001, China)

【机构】 Department of Mathematics, Central South UniversitySchool of Math-ematics and Physics, Nanhua University

【摘要】 Consider the nonautonomous delay logistic equation △yn = pnyn(1- ynk-ln), n ≥ 0, (1)where {pn}n≥0 is a sequence of nonnegative real numbers, {ln}n≥0 is a sequence of positive integers satisfying lim n→∞(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.

【Abstract】 Consider the nonautonomous delay logistic equation △yn = pnyn(1- ynk-ln), n ≥ 0, (1)where {pn}n≥0 is a sequence of nonnegative real numbers, {ln}n≥0 is a sequence of positive integers satisfying lim n→∞(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.

  • 【文献出处】 数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2009年01期
  • 【分类号】O175.7
  • 【被引频次】1
  • 【下载频次】62
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