Hyper Order of Solutions of Higher Order L. D. E. with Coefficients Being Lacunary Series
Received:March 24, 2011  Revised:October 31, 2011
Key Words: linear differential equations   hyper order   lacunary series.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11171119; 11126145), the Natural Science Foundation of Jiangxi Province (Grant No.2010GQS0103) and the Foundation of Education Bureau of Jiangxi Province (Grant No.2012GJJ12206).
Author NameAffiliation
Ji TU School of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Jie JIANG School of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Xiumin ZHENG School of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China 
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Abstract:
      In this paper, we investigate the hyper order of the solutions of high order linear differential equations with some dominated coefficient being lacunary series, and obtain some results which improve and extend previous results.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.06.008
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