| 渐近概周期Logistic方程解的存在唯一性及其性态 |
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| 引用本文： | 张克玉.渐近概周期Logistic方程解的存在唯一性及其性态[J].长江大学学报,2006,3(4):11-13. |
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| 作者姓名： | 张克玉 |
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| 作者单位： | 哈尔滨工业大学数学系 黑龙江 |
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| 摘 要： | 研究了 Logistic 方程 dx(t)/dt=r(t)x(t)1-x(t)/k(t)],扩大了方程中系数r(t),k(t)的范围(由周期函数与概周期函数扩大到渐近概周期函数),得到了此方程渐近概周期解的存在唯一性的充分条件,在此基础上讨论了解的吸引性与稳定性。
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| 关 键 词： | 渐近概周期 方程 存在 唯一性 一致渐近稳定 |
| 文章编号： | 1673-1409（2006）04-0010-03 |
| 收稿时间： | 2006-10-05 |
| 修稿时间： | 2006年10月5日 |
Existence and Uniqueness of Asymptotic Almost Periodicity of Logistic Equation and the chacrachter of the Solution |
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| ZHANG Ke-yu.Existence and Uniqueness of Asymptotic Almost Periodicity of Logistic Equation and the chacrachter of the Solution[J].Journal of Yangtze University,2006,3(4):11-13. |
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| Authors: | ZHANG Ke-yu |
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| Abstract: | The work deals with the existence and uniqueness of asymptotic almost periodic solution of Logistic equation where are asymptotic almost periodic functions and sufficient conditions are ob- tained for the existence and uniqueness of the asymptotic almost periodic solution of this equation in the case of enlarging the scope of the coefficients(enlarged to asymptotic almost periodic functions) Base on this the stability,attraetahility of the solution is discussed |
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| Keywords: | asymptotic almost periodicity Logistic equation uniqueness and existence stability |
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