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Using Mawhin’s continuation theorem, the existence of periodic solution for a class of nonlinear problem is discussed, and then by using it, the problem of periodic solution of nonlinear model in zero-dimensional climate system is investigated. A result about the existence of periodic solution to the model is obtained.
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Keywords:
- nonlinear /
- zero-dimensional climate system /
- periodic solution
[1] Cao H X 1994 Climate Dynamic Model and Simulation (Beijing: Meteorology Press) [曹鸿兴1994 气候动力模式与模拟(北京: 气象出版社)]
[2] Fraedrich K 1978 Quart. J. Roy. Meteor. Soc. 104 461
[3] Fraedrich K 1979 Quart. J. Roy. Meteor. Soc. 105 147
[4] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[5] Mo J Q 2009 Sci. China G 39 568
[6] Liu P, Li Z L 2013 Chin. Phys. B 22 050204
[7] Mo J Q 2010 Commun. Theor. Phys. 53 440
[8] Zhang R P, Yu X J, Zhu J 2012 Chin. Phys. Lett. 29 110201
[9] Mo J Q, Chen X F 2010 Chin. Phys. B 19 100203
[10] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 60 020202]
[11] Du Z J, Lin W T, Mo J Q 2012 Chin. Phys. B 21 090201
[12] Wang J F, Bai F N, Cheng Y M 2011 Chin. Phys. B 20 030206
[13] Li X J 2010 Chin. Phys. B 19 030201
[14] Li X J 2010 Chin. Phys. B 19 020202
[15] Li X J 2012 Acta Phys. Sin. 61 210201 (in Chinese) [李晓静 2012 61 210201]
[16] Chen L J 2013 Acta Phys. Sin. 62 090201 (in Chinese) [陈丽娟 2013 62 090201]
[17] Tang X H, Li X 2009 Nonlinear Analy. Theor. 71 1124
[18] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations (Berlin: Springer)
[19] Wu Q K 2011 Acta Phys Sin. 60 068820 (in Chinese) [吴钦宽 2011 60 068820]
[20] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法(郑州: 河南科学技术出版社)]
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[1] Cao H X 1994 Climate Dynamic Model and Simulation (Beijing: Meteorology Press) [曹鸿兴1994 气候动力模式与模拟(北京: 气象出版社)]
[2] Fraedrich K 1978 Quart. J. Roy. Meteor. Soc. 104 461
[3] Fraedrich K 1979 Quart. J. Roy. Meteor. Soc. 105 147
[4] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[5] Mo J Q 2009 Sci. China G 39 568
[6] Liu P, Li Z L 2013 Chin. Phys. B 22 050204
[7] Mo J Q 2010 Commun. Theor. Phys. 53 440
[8] Zhang R P, Yu X J, Zhu J 2012 Chin. Phys. Lett. 29 110201
[9] Mo J Q, Chen X F 2010 Chin. Phys. B 19 100203
[10] Mo J Q 2011 Acta Phys. Sin. 60 020202 (in Chinese) [莫嘉琪 2011 60 020202]
[11] Du Z J, Lin W T, Mo J Q 2012 Chin. Phys. B 21 090201
[12] Wang J F, Bai F N, Cheng Y M 2011 Chin. Phys. B 20 030206
[13] Li X J 2010 Chin. Phys. B 19 030201
[14] Li X J 2010 Chin. Phys. B 19 020202
[15] Li X J 2012 Acta Phys. Sin. 61 210201 (in Chinese) [李晓静 2012 61 210201]
[16] Chen L J 2013 Acta Phys. Sin. 62 090201 (in Chinese) [陈丽娟 2013 62 090201]
[17] Tang X H, Li X 2009 Nonlinear Analy. Theor. 71 1124
[18] Gaines R E, Mawhin J L 1977 Coincidence Degree and Nonlinear Differential Equations (Berlin: Springer)
[19] Wu Q K 2011 Acta Phys Sin. 60 068820 (in Chinese) [吴钦宽 2011 60 068820]
[20] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou: Henan Science and Technology Press) (in Chinese) [何吉欢 2002 工程和科学计算中的近似非线性分析方法(郑州: 河南科学技术出版社)]
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