Hyper Order of Solutions of Higher Order L. D. E. with Coefficients Being Lacunary Series

• 作 者: Jin TU Jie JIANG Xiumin ZHENG
• 机 构: SchoolofMathematicsandInformationScience
• 出 处: 数学研究及应用：英文版
• 发表日期: 2012年6期
• 关键词: 缺位 高阶 超阶 微分方程解 linear differential equations hyper order lacunary series.
• 基金项目: Supported by the National Natural Science Foundation of China （Grant Nos. 11171119, 11126145）, the Natural Science Foundation of Jiangxi Province （Grant No. 2010GQS0103）, the Foundation of Education B

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.