In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B whi...In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.11171080)Foundation of Science and Technology Department of Guizhou Province(Grant No.[2010]07)
文摘In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.
