ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(13)60019-3

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 556-564.doi: 10.1016/S0252-9602(13)60019-3

ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS

蓝双婷|陈宗煊

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

收稿日期:2011-10-02 修回日期:2012-06-28 出版日期:2013-03-20 发布日期:2013-03-20
基金资助:
This project was supported by the National Natural Science Foundation of China (11171119) and Funding of Tianyuan (11226090).

ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS

LAN Shuang-Ting, CHEN Zong-Xuan

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received:2011-10-02 Revised:2012-06-28 Online:2013-03-20 Published:2013-03-20
Supported by:
This project was supported by the National Natural Science Foundation of China (11171119) and Funding of Tianyuan (11226090).

摘要/Abstract

摘要：

In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if A_k₋₁ is the dominant coefficient, then every transcendental solution f(z) of equation
f^(k) + A_k_−1f(k−1) + … + A₀f = 0
satisfies λ(f) = 1, where λ(f) denotes the exponent of convergence of zeros of the meromor-phic function f(z).

关键词: Differential equation, exponent of convergence of zeros, type

Abstract:

Key words: Differential equation, exponent of convergence of zeros, type

中图分类号:

30D35

蓝双婷, 陈宗煊. ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(2): 556-564.

LAN Shuang-Ting, CHEN Zong-Xuan. ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 2013, 33(2): 556-564.

[1]	Nihed TRABELSI. SINGULAR LIMIT SOLUTIONS FOR 2-DIMENSIONAL ELLIPTIC SYSTEM WITH SUB-QUADRTATIC CONVECTION TERM[J]. 数学物理学报(英文版), 2018, 38(4): 1174-1194.
[2]	Jasbir Singh MANHAS, Ruhan ZHAO. PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES[J]. 数学物理学报(英文版), 2018, 38(4): 1105-1120.
[3]	Bochra NEFZI, Kamel BRAHIM, Ahmed FITOUHI. ON THE FINITE MELLIN TRANSFORM IN QUANTUM CALCULUS AND APPLICATION[J]. 数学物理学报(英文版), 2018, 38(4): 1393-1410.
[4]	刘树君, 陈芳启, 王泽军. EXISTENCE OF GLOBAL L^∞ SOLUTIONS TO A GENERALIZED n×n HYPERBOLIC SYSTEM OF LEROUX TYPE[J]. 数学物理学报(英文版), 2018, 38(3): 889-897.
[5]	赵晓军. LIOUVILLE THEOREM FOR CHOQUARD EQUATION WITH FINITE MORSE INDICES[J]. 数学物理学报(英文版), 2018, 38(2): 673-680.
[6]	张建军, 廖良文. A NOTE ON MALMQUIST-YOSIDA TYPE THEOREM OF HIGHER ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(2): 471-478.
[7]	Yekini SHEHU, Olaniyi. S. IYIOLA. CONVERGENCE OF HYBRID VISCOSITY AND STEEPEST-DESCENT METHODS FOR PSEUDOCONTRACTIVE MAPPINGS AND NONLINEAR HAMMERSTEIN EQUATIONS[J]. 数学物理学报(英文版), 2018, 38(2): 610-626.
[8]	贾慧芳, 李工宝. MULTIPLICITY AND CONCENTRATION BEHAVIOUR OF POSITIVE SOLUTIONS FOR SCHRÖDINGER-KIRCHHOFF TYPE EQUATIONS INVOLVING THE p-LAPLACIAN IN R^N[J]. 数学物理学报(英文版), 2018, 38(2): 391-418.
[9]	韩月才, 孙一芳. SOLUTIONS TO BSDES DRIVEN BY BOTH FRACTIONAL BROWNIAN MOTIONS AND THE UNDERLYING STANDARD BROWNIAN MOTIONS[J]. 数学物理学报(英文版), 2018, 38(2): 681-694.
[10]	王志明. EULER SCHEME AND MEASURABLE FLOWS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS[J]. 数学物理学报(英文版), 2018, 38(1): 157-168.
[11]	Kuo-Shou CHIU. ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS[J]. 数学物理学报(英文版), 2018, 38(1): 220-236.
[12]	刘俊峰, Ciprian A. TUDOR. STOCHASTIC HEAT EQUATION WITH FRACTIONAL LAPLACIAN AND FRACTIONAL NOISE: EXISTENCE OF THE SOLUTION AND ANALYSIS OF ITS DENSITY[J]. 数学物理学报(英文版), 2017, 37(6): 1545-1566.
[13]	陈化, 陈洪葛, 段忆苪, 胡鑫. LOWER BOUNDS OF DIRICHLET EIGENVALUES FOR A CLASS OF FINITELY DEGENERATE GRUSHIN TYPE ELLIPTIC OPERATORS[J]. 数学物理学报(英文版), 2017, 37(6): 1653-1664.
[14]	戴蔚, 刘招. CLASSIFICATION OF POSITIVE SOLUTIONS TO A SYSTEM OF HARDY-SOBOLEV TYPE EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(5): 1415-1436.
[15]	贾晓菁, 贾仁安. IMPROVE EFFICIENCY OF BIOGAS FEEDBACK SUPPLY CHAIN IN RURAL CHINA[J]. 数学物理学报(英文版), 2017, 37(3): 768-785.

ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS

ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10