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《Journal of Jiangxi Normal University (Natural Sciences Edition)》 2004-01
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On the Regularity of Solutions of Higher Order Differential Equations

YI Cai-feng, YANG Xiang-dong (Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China)  
In this paper,we investigate the regularity of solutions of the equation f~((n))+a_(n-1)f~((n-1))+…+a_1f ′+a_0f=F, where coefficients a_i are polynomials,and F is a super entire function.It is proved that if F is regular and satisfies (σ(F)≥1+(max)1≤i≤ndega_(n-i)/i,)then every solution is regular. In addition,we have also considered the speaical case when coefficients are rational functions and got similiar results.
【Fund】: 国家自然科学基金资助项目(19761002).
【CateGory Index】: O175.2
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 YANG Xiang-dong,YI Cai-feng(Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China);The Regularity of Solutions of Second Order Differential Equations[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2003-02
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Hua Xinghou (Dept.of Math.);THE NORMAL CRITERION CONCERNING WITH DIFFERENTIAL POLYNOMIALS[J];Journal of Anhui Normal University(Natural Science);1987-03
2 RUAN Ning(Deptartment of Mathematics, Fujian Normal University., Fuzhou 350007, China);ON THE GROWTH OF ALGEBROID FUNCTION[J];Journal of Anhui Normal University(Natural Science);2002-04
3 GAN De jun (Lu'an Teachers College,Lu'an 237012,China);The more ordinary result of one conjecture of Dransin's[J];JOURNAL OF ANQING TEACHERS COLLEGE(NATURAL SCIENCE EDITION);2000-03
4 WEI Ben cheng (Mathematics Department of Zhumadian Normal College,Zhumadian Henan,463000,China);Proof and Inference about the Simple Defective Number Theorem[J];Journal of Aayang Teachers College;2001-02
5 JIN Jin (Department of Mathematics,Bijie Institute,Bijie 551700,China);The Reaseach and Proof on a Cover Theorem of K-quasimeromorphic Mapping[J];Journal of Baicheng Normal College;2006-04
6 XUAN Zu-xing~1,QIN Shu-lan~2(1.Basic Courses Department of Beijing Union University,Beijing 100101,China;2.Department of Science,Qingdao Binhai University,Qingdao Shandong 266555,China);On Uniqueness of Entire Algebroid Functions[J];Journal of Beijing Union University(Natural Sciences);2009-01
7 Jin jin (Mathematics Department of Bijie Teachers College,Bijie,Guizhou,551700,China);On Several Results Fundamental Functions of Meromorphic Functions[J];Journal of Bijie Teachers College;2004-01
8 JIN Jin(Mathematics Department of Bijie Teachers College,Bi Jie,Guizhou 551700,China);The Fundamental Inequality of K-quasiconformal Meromorphic Mappings and its Application[J];Journal of Bijie Teachers College;2005-04
9 JIN Jin(Mathematics Department of Bijie University,Bijie,Guizhou 551700,China);On the Sequence of Filling Circle and Borel Direction of Quasimeromorphic Function[J];Journal of Bijie University;2007-04
10 LI Ze-qing(Mathematics Department of Bijie University,Bijie,Guizhou 551700,China);The Sequence of Filling Circle and Borel Direction of K-quasimeromorphic Function[J];Journal of Bijie University;2007-04
【Co-references】
Chinese Journal Full-text Database 6 Hits
1 YANG Xiang-dong, YI Cai-feng (Institute of Mathematics and Informatics,Jiangxi Normal University,NanChang 330027,China);Oscillation on Differential Equations of Regular Meromophic Coefficients[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2002-02
2 YANG Xiang-dong,YI Cai-feng(Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China);The Regularity of Solutions of Second Order Differential Equations[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2003-02
3 YI Cai-feng, YANG Xiang-dong (Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330027,China);On the Regularity of Solutions of Some Higher Order Differential Equations[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2004-04
4 Yi Caifeng (Department Mathematics,Jiangxi Normal Univeristy,Nanchang 330027);Exponent of Convergence of the Zeros and Growth Order of Meromorphic Solutions of Higher Order Linear Differential Equations[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1998-03
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