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含最大值中立型差分方程非振动解的渐近性 被引量:3

Asymptotic Behavior of Nonoscillatory Solutions for Neutral Difference Equations With Maximum
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摘要 本文讨论了一类最大值差分方程非振动解的渐近性 ,得到了与不含最大值差分方程不同的结果 . A nonlinear difference equation involving the maximum function is studied.We derive sufficient conditions in order that eventually positive solutions or eventually negative solutions tending to zero or to positive or negative infinity.Asymptotic dichotomy of eventually positive solutions and eventually negative solutions is also explained by some examples.
作者 张广 陈慧琴
出处 《雁北师范学院学报》 2002年第2期1-6,共6页 Journal of Yanbei Teachers College
基金 山西省自然基金会资助项目 (2 0 0 0 10 0 1)
关键词 最大值 中立型差分方程 非振动解 渐近性 Maximal value,neutral difference equation,nonoscillatory solution,asymptotic behavior.
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