The mathematical model of the Antarctic Circumpolar Current with integral boundary conditions is established and the explicit expression of green’s function is obtained. The existence and uniqueness of solutions are proved by using the mixed monotone operator theory. The sufficient conditions for the existence of positive solutions of the model are given and the existence of positive solutions with integral boundary is proved by using the fixed point technique in cone.

中文翻译：

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地球物理流体流动积分边值问题的正解

建立了带积分边界条件的南极绕极流数学模型，得到了格林函数的显式表达式。利用混合单调算子理论证明了解的存在唯一性。给出了模型正解存在的充分条件，并利用锥内不动点法证明了带积分边界正解的存在性。