| 二阶滞后型差分方程解的渐近性质 |
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| 引用本文： | 韩忠月. 二阶滞后型差分方程解的渐近性质[J]. 系统科学与数学, 2003, 23(3): 315-320 |
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| 作者姓名： | 韩忠月 |
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| 作者单位： | 德州学院数学系,德州,253000 |
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| 基金项目： | 国家自然科学基金(10071043) |
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| 摘 要： | 本文研究非线性差分方程 △~2x_n+q_nx_(n+1)=a_nφ(x_n+m)(x_n+k)+bn的解的渐近表示,设对应的齐次方程非振动,建立条件使方程的任意解可表成(z_n+y_n+z_no(1))的形式,其中z_n和y_n分别是对应齐次方程的主解和非主解。
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| 关 键 词： | 差分方程 解的渐近表示 |
| 修稿时间： | 2001-06-21 |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR DELAY DIFFERENCE EQUATIONS OF SECOND ORDER |
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| Zhong Yue HAN. ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR DELAY DIFFERENCE EQUATIONS OF SECOND ORDER[J]. Journal of Systems Science and Mathematical Sciences, 2003, 23(3): 315-320 |
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| Authors: | Zhong Yue HAN |
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| Affiliation: | Department of Mathematics, Dezhou College, Dezhou 253023,P.R.China |
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| Abstract: | This paper is concerned with the asymptotic expression of solutions to the nonlinear difference equationUnder the assumption that the corresponding homogeneous equation is nonoscillatory, sufficient conditions are established such that every solution of the equation is expressed as (zn + yn + zno(1)), where zn and yn are principal and nonprincipal solutions of the homogeneous equation, respectively. |
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| Keywords: | Difference equation asymptotic expression. |
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