Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (3): 425-432.
• Articles • Previous Articles
Online:
Published:
Abstract:
In this paper, we first of all investigate the problems on the fixed points and hyper order of solutions of four type of second order linear differential equations with entire coefficients. We obtain that the properties of fixed points of solutions of complex differential equations are more interesting than that of general transcendental entire functions because of the control of differential equations.
Key words: Ｓｅｃｏｎｄｏｒｄｅｒｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ, Ｆｉｘｅｄｐｏｉｎｔ, Ｈｙｐｅｒｏｒｄｅｒ
CLC Number:
Chen Zongxuan. The Fixed Points and Hyper Order of Solutions of Second Order Complex Differential Equations[J].Acta mathematica scientia,Series A, 2000, 20(3): 425-432.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2000/V20/I3/425
１ ＢａｎｋＳ，ＬａｉｎｅＩ．Ｏｎｔｈｅｏｓｃｉｌｌａｔｉｏｎｔｈｅｏｒｙｏｆf″＋Af＝０ｗｈｅｒｅAｉｓｅｎｔｉｒｅ．ＴｒａｎｓＡｍｅｒＭａｔｈＳｏｃ，１９８２，２７３：３５１－ ３６３ ２ 庄圻泰，杨重骏．亚纯函数的不动点与分解论．北京：北京大学出版社，１９８８ ３ ＣｈｅｎＺｏｎｇｘｕａｎ．Ｏｎｔｈｅｃｏｍｐｌｅｘｏｓｃｉｌｌａｔｉｏｎｔｈｅｏｒｙｏｆf(k)＋ Af＝ F．ＰｒｏｃＥ Ｍ Ｓ，１９９３，３６：４４７－４６１ ４ 陈宗煊．二阶亚纯系数微分方程亚纯解的零点．数学物理学报，１９９６，１６（３）：２７６－２８３ ５ ＧａｏＳｈｉａｎ．Ｏｎｔｈｅｃｏｍｐｌｅｘｏｓｃｉｌｌａｔｉｏｎｏｆｓｏｌｕｔｉｏｎｓｏｆｎｏｎｈｏｍｏｇｅｎｅｏｕｓｌｉｎｅａｒｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｗｉｔｈｐｏｌｙｎｏｍｉａｌｃｏｅｆｆｉｃｉｅｎｔｓ．ＣｏｍｍｅｎｔＭａｔｈＵｎｉｖＳａｎｃｔｉＰａｕｌｉ，１９８９，３８：１１－２０ ６ ＧａｏＳｈｉａｎ．Ｔｗｏｔｈｅｏｒｅｍｓｏｎｔｈｅｃｏｍｐｌｅｘｏｓｃｉｌｌａｔｉｏｎｔｈｅｏｒｙｏｆｎｏｎｈｏｍｏｇｅｎｅｏｕｓｌｉｎｅａｒｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９１，１６２：３８１－３９１ ７ Ｈａｙｍａｎ Ｗ．Ｍｅｒｏｍｏｒｐｈｉｃｆｕｎｃｔｉｏｎｓ．Ｏｘｆｏｒｄ：ＣｌａｒｅｎｄｏｎＰｒｅｓｓ，１９６４ ８ Ｈａｙｍａｎ Ｗ．Ｔｈｅｌｏｃａｌｇｒｏｗｔｈｏｆｐｏｗｅｒｓｅｒｉｅｓ：ａｓｕｒｖｅｙｏｆｔｈｅ ＷｉｍａｎＶａｌｉｒｏｎｍｅｔｈｏｄ．Ｃａｎａｄ ＭａｔｈＢｕｌｌ，１９７４，１７： ３１７－３５８ ９ 何育赞，肖修治．代数体函数与常微分方程．北京：科学出版社，１９８８ １０ ＬａｉｎｅＩ．Ａｎｏｔｅｏｎｔｈｅｃｏｍｐｌｅｘｏｓｃｉｌｌａｔｉｏｎｔｈｅｏｒｙｏｆｎｏｎｈｏｍｏｇｅｎｅｏｕｓｌｉｎｅａｒｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＲｅｓｕｌｔｓｉｎＭａｔｈ，１９９０，１８：２８２－２８５ １１ ＫｉＨｏＫｗｏｎ．Ｎｏｎｅｘｉｓｔｅｎｃｅｏｆｆｉｎｉｔｅｏｒｄｅｒｓｏｌｕｔｉｏｎｓｏｆｃｅｒｔａｉｎｓｅｃｏｎｄｏｒｄｅｒｌｉｎｅａｒｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ．ＫｏｄａｉＭａｔｈＪ，１９９６，１９：３７８－３８７ １２ 仪洪勋，杨重骏．亚纯函数唯一性理论．北京：科学出版社，１９９５ １３ 杨乐．值分布论及其新研究．北京：科学出版社，１９８２
Cited