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Pure Mathematics 2020
一类微分方程组的亚纯解
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Abstract:
本文主要研究某些给定的微分方程组的ρ2（f）<1的整体解或亚纯解的存在性，并获得一些有意义结果。并且，如果考虑的方程组允许超越解的存在，那么我们可以获得求解的精确表达。我们的结果改进和补充了前人的研究成果。
In this paper, we will mainly study further on the existence of entire or meromorphic solutions with？ρ2（f）<1？of some given systems of di？erence-di？erential equations, and obtain some interesting results. And if the considered systems admit a transcendental entire solution, then we can obtain the precise expression of the solution. Our results improve and complement the previous research results.
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