| 时滞Logistic型差分方程的振动及稳定性 |
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| 引用本文： | 秦茂昌,李永昆.时滞Logistic型差分方程的振动及稳定性[J].生物数学学报,2002,17(3):257-262. |
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| 作者姓名： | 秦茂昌 李永昆 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 基金项目： | This work is Supported by National Natural Sciences Foundation of People’s Republic of China and Natural Sciences Foundation of Yunnan Province. |
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| 摘 要： | 本文获得了如下Xn 1=xnexp(a bxn-k^p-cxn-1^q）时滞Logistic型差分方程所有正解关于其平衡点振动的充要条件，同时还获得了一个正平衡点渐近稳定的充分条件，其中A∈（0，∞），B∈（-∞，O]，C∈（0，∞），K,l∈N。
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| 关 键 词： | 时滞Logistic型差分方程 振动 稳定性 平衡点 渐近稳定 |
Oscillation and Stability for Delay Logistic Difference Equation |
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| QIN Mao-chang,LI Yong-kun.Oscillation and Stability for Delay Logistic Difference Equation[J].Journal of Biomathematics,2002,17(3):257-262. |
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| Authors: | QIN Mao-chang LI Yong-kun |
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| Abstract: | In this paper, we obtain the necessary and sufficient condition for all positive solutions of the delay logistic difference equation xn+1 = xn exp(a + bx p n-k-cx q n-l), to oscillate about its positive equilibrium, vhere a ∈ (0, ∞), c ∈ (0: ∞),b ∈ (-∞, 0], k.I ∈ N. We also obtain the sufficient condition for the positive equilibrium to be asymptotically stable. |
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| Keywords: | Oscillation Equilibrium Delay logistic difference equation Asymptotically stable |
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