CHEN Li-juan, LU Shi-ping, XU Jing. Positive Periodic Solutions to the Nonlinear Disturbed Model for Sea-Air Coupling Climate Systems[J]. Applied Mathematics and Mechanics, 2017, 38(4): 469-476. doi: 10.21656/1000-0887.370188
Citation: CHEN Li-juan, LU Shi-ping, XU Jing. Positive Periodic Solutions to the Nonlinear Disturbed Model for Sea-Air Coupling Climate Systems[J]. Applied Mathematics and Mechanics, 2017, 38(4): 469-476. doi: 10.21656/1000-0887.370188

Positive Periodic Solutions to the Nonlinear Disturbed Model for Sea-Air Coupling Climate Systems

doi: 10.21656/1000-0887.370188
Funds:  The National Natural Science Foundation of China(11271197)
  • Received Date: 2016-06-14
  • Rev Recd Date: 2016-08-02
  • Publish Date: 2017-04-15
  • The focus was given on the tropical large-scale ocean-atmosphere interaction associated with ENSO, which was considered as one of the most important mechanisms for the global inter-annual climate variability. From a group of sea-air coupling equations, a nonlinear disturbed model was built for sea-air coupling climate systems. Based on the continuation theorem of Mawhin’s coincidence degree, the existence of positive periodic solutions to a class of nonlinear problems was discussed. A strict proof of the existence of positive periodic solutions to the model was obtained, and the potential application value of the result was expected. The study of air-sea interaction, which helps to understand the process of climate variability, provides a theoretical basis for climate simulation and prediction.
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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