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hyper order of Solutions of Higher order L. D. E. with Coefficients Being Lacunary Series

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Journal of Mathematical Research with Applications 2012年第6期32卷 687-693页

作者： Jin TU , Jie JIANG, Xiumin ZHENG School of Mathematics and Information Science, Jiangxi Normal University,Jiangxi 330022, P. R. China School of Mathematics and Information Science Jiangxi Normal University Jiangxi 330022

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 previo... 详细信息

关键词： linear differential equations hyper order lacunary series.

hyper order OF SOLUTIONS TO SOME LINEAR DIFFERENTIAL EQUATIONS IN THE UNIT DISC

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Annals of Differential Equations 2013年第4期29卷 406-414页

作者： Jing He Xiumin Zheng Institute of Math. and Information Science Jiangxi Normal University

In this paper, we investigate the growth of solutions to some linear diferential equations with analytic coefcients in the unit disc. When the coefcients of these equations have some special properties near a point on the boundary of the unit disc, the order and the hyper order of the solutions to these equations are estimated accurately. Especially, our conditions on the coefcients are more general and the results on the hyper order of the solutions are new to some extent.

关键词： analytic function unit disc order hyper order

SUBNORMAL SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS

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Acta Mathematica Scientia 2010年第1期30卷 75-88页

作者：陈宗煊孙光镐 School of Mathematical Sciences South China Normal University Department of Mathematics College of Natural SciencesPusan National University

In this article, we apply the concept of hyper-order to higher order linear differential equations with periodic coefficients, investigate the existence and the form of its subnormal solution, and estimate the growth of all other solutions, and answer the question raised by Gundersen and Steinbart for more general periodic differential equations.

关键词： periodic equation subnormal solution hyper order

On subnormal solutions of second order linear periodic differential equations

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Science China Mathematics 2007年第6期50卷 786-800页

作者： Kwang Ho SHON Department of Mathematics College of Natural SciencesPusan National UniversityPusan 609-735Karea

In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the questi... 详细信息

关键词： periodic differential equation subnormal solution hyper order 30D35 34M10

OSCILLATION THEORY TO SOME COMPLEX LINEAR LARGE DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2009年第1期25卷 1-7页

作者： Benharrat BELADI Abdallah El FARISSI Dept. of Math. Laboratory of Pure and Applied Math. University of MostaganemB. P 227 Mostaganem-(Algeria)

In this paper, some complex linear differential equations are investigated. Many results on the relation between solutions and their derivatives are obtained.

关键词： linear differential equations meromorphic solutions hyper order exponent of convergence hyper exponent of convergence

Growth of Solutions of a Differential Equations with Class of Higher order Linear Coefficients Being Gap Series

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Journal of Mathematical Research and Exposition 2009年第3期29卷 563-567页

作者： TU Jin LIU Jie College of Mathematics and Information Science Jiangxi Normal University Jiangxi 330022 China Department of Natural Sciences Nanchang Teachers College Jiangxi 330029 China

In this paper, we investigate the growth of solutions of a class of higher order linear differential equations with coefficients being gap series. In this case, we remove the condition that the order of coefficients i... 详细信息

关键词： linear differential equations hyper order gap series.