On factorization of the solutions of second order linear differential equations

Jianhua Zheng; Yuzan He

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On factorization of the solutions of second order linear differential equations

机译：二阶线性微分方程解的因式分解

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摘要

In this paper, we discuss factorization of the solutions of some linear ordinary differential equations with transcendental entire coefficients. We give a con- dition which shows that the solutions for some differential equations are prime, for some are factorizable.

机译：在本文中，我们讨论了具有超验整体系数的一些线性常微分方程解的因式分解。我们给出的条件表明，某些微分方程的解是质数，而某些是可分解的。

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来源
《Journal of the Mathematical Society of Japan》 |2001年第4期|p.835-845|共11页
作者
Jianhua Zheng; Yuzan He;
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作者单位

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
factorization; meromorphic solution; differential equation;

机译：分解亚纯溶液微分方程;

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2. Operator factorization and the solution of second-order linear ordinary differential equations [J] . W. ROBIN International Journal of Mathematical Education in Science and Technology . 2007,第2期

机译：算子分解和二阶线性常微分方程的解
3. On factorization of solutions to second order linear differential equations [J] . Wang Sheng Bulletin of the Korean Mathematical Society . 2005,第1期

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4. ON FACTORIZATION AND SOLUTION OF MULTIDIMENSIONAL LINEAR PARTIAL DIFFERENTIAL EQUATIONS [C] . S.P. TSAREV Waterloo Workshop in Computer Algebra . 2007

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5. PERIODIC SOLUTIONS OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS (THE VAN-DER-POL EQUATION). [D] . ECKWEILER, HOWARD JESSE. 1943

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6. A new multi-step technique with differential transform method for analytical solution of some nonlinear variable delay differential equations [O] . Brahim Benhammouda, Hector Vazquez-Leal -1

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7. On factorization and solution of multidimensional linear partial differential equations [O] . Tsarev, S. P. 2006

机译：关于多维线性偏微分方程的分解与求解微分方程
8. Factorization Method for the Numerical Solution of Two Point Boundary Value Problems for Linear ODE's (Ordinary Differential Equations) [R] . Babuska, I., Majer, V. 1986

机译：线性ODE（常微分方程）两点边值问题数值解的因式分解法

On factorization of the solutions of second order linear differential equations

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