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扰动的广义Emden-Fowler差分方程解的性质

Properties of Solutions for Disturbed Emden-Fowler Difference Equations
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摘要 利用不动点定理,得到了广义Emden-Fowler差分方程在扰动下的有界解和无界解,并分析了这些解的振动性和渐近性质。 The existance of bounded and unbounded solutions for disturbed Emden - Fowler difference equations is studied, oscillation and approximation of those solutions are also obtained.
作者 吴春青
出处 《江苏工业学院学报》 2006年第4期50-52,共3页 Journal of Jiangsu Polytechnic University
关键词 差分方程 振动和非振动 渐近性质 不动点定理 difference equation oscillation and nonosciUation asymptotic behavior fixed point theorem
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参考文献7

  • 1Wong J S W. On the Generalized Emden - Fowler Equation [ J].SIAM Review, 1975, 17 (2): 339-360.
  • 2Zhang B G. Oscillation and Asymptotic Behavior of Second Order Difference Equations [ J ]. Journal of Mathematical Analysis and Applications, 1993, 173 (1): 58-68.
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  • 6吴春青.一类非线性差分方程解的性质[J].江苏工业学院学报,2005,17(2):47-49. 被引量:1
  • 7Chert Shaozhu. A Problem of Hartman and Wintner: Approximation for Disturbed Perturbations [ J ]. An International Journal of Computer and Mathematics with Application, 2001, 42 (3) : 655- 669.

二级参考文献8

  • 1Wong J S W.On the Generalized Emden-Fowler Equation[J].SIAM Review,1975,17(2):339-360.
  • 2John W Hooker,Patula W T.A Second Order Nonlinear Difference Equation:Oscillation and Asymptotic Behavior[J].J Math Anal Appl,1983,91(1):9-29.
  • 3Patula W T.Growth and Oscillation Properties of Second Order Difference Equations[J].SIAM J Math Anal,1979,10(6):1 272-1 279.
  • 4Chen Shaozhu,Erbe L H.Riccati Type Techniques and Discrete Oscillations[J].J Math Anal Appl,1989,142(2):468-487.
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  • 6Huang Chunchao.Oscillation and Nonoscillation for Second Order Linear Differential Equations[J].J Math Anal Appl,1997,210(3):712-723.
  • 7吴春青.Emden-Fowler型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. 被引量:2
  • 8陈绍著.二阶线性差分方程解的渐近线性[J].数学学报(中文版),1992,35(3):396-406. 被引量:8

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