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一类高阶线性微分方程的次正规解

On the Subnormal Solutions of Certain High-Order Linear Differential Equations
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摘要 讨论了一类高阶线性微分方程F^((k))+A_(k-1)f^((k-1))+…+A_0f=0,k≥2的次正规解的存在性和形式,并估计了所有解的增长性。 In this paper, the existence of subnormal solutions and the growth of solutions of the differential equation f(k)+Ak-1f(k-1)+…A0f=0,k≥2 are investigated , which are improvements of related results given by Chen[3].
作者 黄志刚
出处 《数学的实践与认识》 CSCD 北大核心 2011年第23期164-171,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(11001057) 江苏省自然科学基金(BK2010234) 江苏省青蓝工程资助
关键词 线性微分方程 次正规解 超级 linear differential equation subnormal solution super order
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