Growth of meromorphic solutions of delay differential equations
Growth of meromorphic solutions of delay differential equations
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DOI：
10.1090/proc/13559
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发表时间：
2016-02
期刊：
影响因子：
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通讯作者：
R. Halburd;R. Korhonen
中科院分区：
文献类型：
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作者：
R. Halburd;R. Korhonen
得到了某些类型的有理时滞微分方程存在超阶小于1的非有理亚纯解的必要条件。得到的方程包括延迟Painlev方程和椭圆函数解方程.
Necessary conditions are obtained for certain types of rational delay differential equations to admit a non-rational meromorphic solution of hyper-order less than one. The equations obtained include delay Painlev\'e equations and equations solved by elliptic functions.