| 非线性非自治差分系统的振动性 |
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| 引用本文： | 张书年. 非线性非自治差分系统的振动性[J]. 安徽大学学报(自然科学版), 1995, 19(1): 11-17 |
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| 作者姓名： | 张书年 |
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| 作者单位： | 安徽大学数学系 |
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| 摘 要： | 本文建立非线性非自治差分系统及非线性非自治具分段常数变元的系统ｆ－－０所有解为振动的判别准则，其中［·］表示最大整数函数，Ａｒ为ｋ×ｋ矩阵值函数，而Ｆｒ为连续的ｋ维向量值函数。作为所得结果的应用，还给出了一些例子。
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| 关 键 词： | 非线性非自治差分系统，具分段常数变元的系统，振动解，非振动解 |
Oscillations of Nonlinear Nonautonomous Difference Systems |
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| Zhang Shunian. Oscillations of Nonlinear Nonautonomous Difference Systems[J]. Journal of Anhui University(Natural Sciences), 1995, 19(1): 11-17 |
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| Authors: | Zhang Shunian |
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| Abstract: | Consider the nonlinear nonautonomous difference systems of the form: and the nonlinear nonautonomous systems with piecewise constant argument of the form: Where [.] denotes the greatest integer function, Ar is a k×k matrix-valued function,and F is a continuous k-dimensional vector-valued function. Criteria for ascillations of all solutions of both systems are established. As applications of the obtained results, several examples are also given. |
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| Keywords: | nonlinear nonautonomous difference systems systems with piecewise constant arguments oscillatory solutions non-oscillatory solutions. |
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