| 一类状态依赖时滞能源价格模型的动力学分析 |
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| 引用本文： | 薛婷婷,刘文斌,常治国,张宁,史小艺.一类状态依赖时滞能源价格模型的动力学分析[J].数学的实践与认识,2012,42(9):162-171. |
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| 作者姓名： | 薛婷婷 刘文斌 常治国 张宁 史小艺 |
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| 作者单位： | 1. 中国矿业大学理学院,江苏徐州,221008
2. 中国矿业大学矿业工程学院,江苏徐州,221008 |
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| 基金项目： | 国家自然科学基金，中央高校理科专项资助项目 |
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| 摘 要： | 研究了一类状态依赖时滞能源价格模型的动力学行为,通过使用一些新的分析技巧,获得该模型周期解的先验估计,利用重合度理论中的延拓定理,得到该模型正周期解存在的充分性条件,最后以我国近年来无烟煤出厂价格实例验证了该模型实际意义的合理性.
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| 关 键 词： | 状态依赖 时滞方程 重合度 正周期解 |
Dynamic Analysis for a Kind of State-dependent Time-delayed Energy Price Model |
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| XUE Ting-ting
,
LIU Wen-bin
,
CHANG Zhi-guo
,
ZHANG Ning
,
SHI Xiao-yi.Dynamic Analysis for a Kind of State-dependent Time-delayed Energy Price Model[J].Mathematics in Practice and Theory,2012,42(9):162-171. |
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| Authors: | XUE Ting-ting LIU Wen-bin CHANG Zhi-guo ZHANG Ning SHI Xiao-yi |
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| Institution: | 1 (1.College of Sciences,China University of Mining and Technology,Xuzhou 221008,China) (2.College of Mining,China University of Mining & Technology,Xuzhou 221008,China) |
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| Abstract: | Dynamic behavior for a kind of state-dependent time-delayed energy price model is discussed in this paper.Through the use of some new analysis techniques,the prior estimate of the model’s periodic solutions is obtained,and by using the continuation theorem of coincidence degree theory,the sufficient condition of the existence of the model’s positive periodic solutions is obtained.Finally,anthracite prices in recent years are taken as the example to verify the reasonableness of the model’s practical significance. |
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| Keywords: | state-dependent time-delay equation coincidence degree positive periodic solution |
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