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ASYMPTOTIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH A REGULAR SINGULAR POINT

机译：具有正则奇异点的微分方程的渐近解

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For a differential equation with a regular singular point a natural definition of the particular solutions is given by their power series development at one of the singular points.

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K. G. Guderley;
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年度 1959
页码 1-86
总页数 86
原文格式 PDF
正文语种 eng
中图分类工业技术;
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专利

1. On the asymptotic expansions of numerical solutions to second order differential equations with a regular singular point [J] . Weiss R., Anderssen RS., de Hoog FR. Mathematical models and methods in applied sciences . 2001,第1期

机译：具有正则奇异点的二阶微分方程数值解的渐近展开
2. Asymptotic solution of differential equations in a domain containing a regular singular point [J] . N. D. Kazarinoff, R. McKelvey Canadian Journal of Mathematics . 1956,第1956期

机译：包含正则奇异点的域中微分方程的渐近解
3. Asymptotics of Solutions of Partial Differential Equations with Higher Degenerations and the Laplace Equation on a Manifold with a Cuspidal Singularity [J] . M. V. Korovina Differential equations: A translation of differensial'nye uraveniya . 2013,第5期

机译：具有尖锐奇异性的流形上偏高阶偏微分方程和Laplace方程解的渐近性
4. Formal solutions of differential equations in the neighborhood of singular points (Regular and Irregular) [C] . J. Della Dora, E. Tournier ACM symposium on Symbolic and algebraic computation . 1981

机译：奇异点（正则和不规则）附近微分方程的形式解
5. On the Improved Asymptotics for Oscillatory Solutions of Second Order Ordinary Differential Equations. [D] . Heitman, Zhu Wang. 2014

机译：二阶常微分方程振动解的改进渐近性。
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. The asymptotic behaviour of singular solutions to the solutions of linear partial differential equatiionsequations in the complex domain(Microlocal Analysis of Differential Equations) [O] . OUCHI Sunao 1991

机译：复域中线性偏微分方程方程解的奇异解的渐近行为（微分方程的微局部分析）
8. THE ASYMPTOTIC SOLUTION OF LINEAR SECOND ORDER DIFFERENTIAL EQUATIONS IN A DOMAIN CONTAINING A TURNING POINT AND REGULAR SINGULARITY THE ASYMPTOTIC EXPANSION OF LEGENDRE FUNCTIONS OF LARGE DEGREE AND ORDER [R] . R. C. THORNE 1956

机译：具有转动点和正则奇异性的一个区域中线性二阶微分方程的渐近解 - 大阶和阶数的LEGENDRE函数的渐近展开

ASYMPTOTIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH A REGULAR SINGULAR POINT

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