[1]吴春青.一类非线性差分方程解的性质[J].常州大学学报(自然科学版),2005,(02):47-49.
 WU Chun -qing.Properties of Solutions for Certain Nonlinear Difference Equations[J].Journal of Changzhou University(Natural Science Edition),2005,(02):47-49.
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一类非线性差分方程解的性质()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2005年02期
页码:
47-49
栏目:
出版日期:
2005-06-25

文章信息/Info

Title:
Properties of Solutions for Certain Nonlinear Difference Equations
作者:
吴春青
江苏工业学院信息科学系, 江苏 常州 213016
Author(s):
WU Chun -qing
Department of Information Science , Jiangsu Poly technic University , Chang zhou , 213016 , China
关键词:
差分方程有界解无界解渐近性质
Keywords:
difference equation bounded solution unbounded solution asymptotic behavior
分类号:
O 241.3
文献标志码:
A
摘要:
利用自共轭二阶线性差分方程的一些结论, 研究了形如Δ2 xn +a nxγn +1 = f n 的差分方程的无界解, 有界解的存在性及这 类解的渐近性质。这类方程可看作Emden -Fow ler 微分方程的带强迫项的离散形式。
Abstract:
The existence and asymptotic behavior of bounded and unbounded solutions for difference equation Δ2 xn +anxγn+1 =f n w ere obtained .The equation of this type was viewed as perturbation of the second order self adjoint difference equation

参考文献/References:

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[2] 吴春青.Emden -Fow ler 差分方程的非振动解[J] .江苏石油 化工学院学报, 2002 , 14 (3):57 -58 .
[3] John W Hooker , Patula W T .A Second Order Nonlinear Dif ference Equati on :Oscillation and Asymptotic Behavior [J] .J Math Anal Appl , 1983 , 91 (1):9 -29 .
[4] Patula W T .Grow th and Oscillat ion Properties of S econd Order Dif ference Equations [J] .SIAM J Math Anal , 1979 , 10 (6): 1 272 -1 279 .
[5] C hen S haozhu , Erbe L H .Riccat i Type Techniques and Discrete Osci llations [J] .J Math Anal Appl , 1989 , 142 (2):468 - 487 .
[6] 陈绍著.二阶线性差分方程解的渐近线性[J] .数学学报, 1992 , 35 (3):396 -406 .
[7] Chen S haoz hu , Wu C hunqing .Ri ccat i T echniques and Approximati on f or a Second Order Poincaré Equation [J] .J Math Anal Appl , 1998 , 222 (1):177 -191 .
[8] Huang Chunchao.Oscillat ion and Nonoscillat ion f or Second Order Linear Dif ferential Equat ions [J] .J Math AnalAppl , 1997 , 210 (3):712 -723 .

相似文献/References:

[1]吴春青.扰动的广义Emden -Fowler 差分方程解的性质[J].常州大学学报(自然科学版),2006,(04):50.
 WU Chun -qing.Properties of Solutions for Disturbed Emden -Fowler Difference Equations[J].Journal of Changzhou University(Natural Science Edition),2006,(02):50.

备注/Memo

备注/Memo:
作者简介:吴春青(1972 -), 男, 安徽歙县人, 硕士, 讲师, 主要研究方向为差分方程的性质。
更新日期/Last Update: 2005-06-25