时滞脉冲新古典增长模型的正周期解
Positive Periodic Solutions for a Class of Delayed Neoclassical Growth Model
DOI: 10.12677/AAM.2017.66087, PDF, HTML, XML, 下载: 1,815  浏览: 2,018 
作者: 杨春雨, 张若军, 张静静：中国海洋大学数学科学学院，山东 青岛
关键词: 新古典增长模型；正周期解；时滞；脉冲；Neoclassical Growth Model； Positive Periodic Solutions； Delay； Impulse
摘要: 本文考虑了一类具有脉冲项的时滞新古典增长模型的正周期解问题，利用锥拉伸与锥压缩不动点定理给出了该模型存在两个不同正周期解的条件，并通过实例验证了所得结论的有效性。
Abstract: In this paper, the existence of positive periodic solutions for a class of delayed neoclassical growth model with impulse is considered. By using the cone fixed point theorem, some sufficient conditions of the existence of positive periodic solutions for the addressed model are obtained. Moreover, an example is given to show the effectiveness of our results.
文章引用：杨春雨, 张若军, 张静静. 时滞脉冲新古典增长模型的正周期解[J]. 应用数学进展, 2017, 6(6): 727-733. https://doi.org/10.12677/AAM.2017.66087

参考文献

[1] Solow, R. (1956) A Contribution to the Theory of Economic Growth. Quarterly Journal of Economics, 98, 203-213.
https://doi.org/10.2307/1884513
[2] Swan, T. (1956) Economic Growth and Capital Accumulation. Quarterly Journal of Economics, 70, 65-94.
https://doi.org/10.1111/j.1475-4932.1956.tb00434.x
[3] Day, R. (1983) Irregular Growth Cycles. American Economic Review, 72, 406-414.
[4] Day, R. (1983) The Emergence of Chaos from Classical Economic Growth. Quarterly Journal of Economics, 98, 203-213.
https://doi.org/10.2307/1885621
[5] Day, R. (1994) Complex Economic Dynamics: An Introduction to Dynamical Systems and Market Mechanism. MIT Press, Cambridge.
[6] Puu, T. (2003) Attractions, Bifurcations and Chaos: Nonlinear Phe-nomena in Economics. Springer, Berlin.
https://doi.org/10.1007/978-3-540-24699-2
[7] Bischi, G.I., Chiarella, C., Kopel, M. and Szidarovszky, F. (2000) Nonlinear Oligopolies: Stability and Bifurcation. Springer, Berlin.
[8] Matsumoto, A. and Szidarovszky, F. (2011) Delay Differential Neoc-lassical Growth Model. Journal of Economic Behavior & Organization, 78, 272-289.
https://doi.org/10.1016/j.jebo.2011.01.014
[9] Matsumoto, A. and Szidarovszky, F. (2013) Asymptotic Behavior of a Delay Differential Neoclassical Growth Model. Sustainability, 5, 440-455.
https://doi.org/10.3390/su5020440
[10] Lakshmikantham, V., Dimitŭr, B. and Pavel, S. (1989) Theory of Impulsive Differential Equations. World scientific, Singapore.
https://doi.org/10.1142/0906
[11] Bainov, D. and Simeonov, P. (1993) Impulsive Differential Equations: Periodic Solutions and Applications. Longman Scientific and Technical, New York.
[12] Bainov, D.D. and Simeonov, P.S. (1995) Impulsive Differential Equations: Asymptotic Properties of the Solutions. World Scientific, Singapore.
https://doi.org/10.1142/2413
[13] 郭大钧. 非线性泛函分析[M]. 济南: 山东科学技术出版社, 2001.

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