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一类二阶具正负系数非线性差分方程组的频率振动性
Frequent oscillatory criteria for a class of second-order nonlinear difference equations group with positive and negative coefficients
【摘要】 利用频率测度的相关知识,讨论一类二阶具正负系数非线性差分方程组的频率振动性。给出一些引理和定理,并进行了证明,得到一些全新的二阶具正负系数差分方程组解的频率振动性的判别准则,用实例对判别准则进行验证。
【Abstract】 A class of second-order nonlinear difference equations group with positive and negative coefficients is concerned with.Some lemmas and theorems and their proofs are investigated by using some frequency measure knowledge.By that some new discriminated criterion on frequency vibration of two order difference equations with positive and negative coefficients are obtained.Finally,the criteria are verified by an example.
【关键词】 差分方程组;
频率测度;
频率振动;
正负系数;
非线性;
【Key words】 difference equations group; frequency measure; frequency oscillation; positive and negative coefficients; nonlinear;
【Key words】 difference equations group; frequency measure; frequency oscillation; positive and negative coefficients; nonlinear;
【基金】 国家自然科学基金资助项目(60604004);河北省自然科学基金资助项目(07M005);秦皇岛市科技支撑计划项目(201001A037;201101A168)
- 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2013年04期
- 【分类号】O175.7
- 【被引频次】1
- 【下载频次】31