| 超线性扰动下的差分方程S渐进ω周期解 |
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| 引用本文： | 简伟刚,陈园园.超线性扰动下的差分方程S渐进ω周期解[J].江西师范大学学报(自然科学版),2021,45(4):339-342. |
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| 作者姓名： | 简伟刚 陈园园 |
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| 作者单位： | 1.豫章师范学院数学与计算机学院,江西 南昌 330103; 2.江西师范大学数学与统计学院,江西 南昌 330022; 3.南昌理工学院公共教学部,江西 南昌 330044 |
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| 摘 要： | 该文给出了S渐进ω周期函数的一个等价定义,并且研究了一类在超线性扰动下的差分方程的S渐进ω周期解的存在性.最后,通过举例来说明定理的3个条件是可以实现的.
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| 关 键 词： | 差分方程 S渐进ω周期函数 超线性扰动 依点收敛 |
The S-Asmptotically ω-Periodic Type Solutions for Difference Equations with Superlinear Perturbation |
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| JIAN Weigang,CHEN Yuanyuan.The S-Asmptotically ω-Periodic Type Solutions for Difference Equations with Superlinear Perturbation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2021,45(4):339-342. |
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| Authors: | JIAN Weigang CHEN Yuanyuan |
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| Institution: | 1.School of Mathematics and Computers,Yuzhang Normal University,Nanchang Jiangxi 330103,China; 2.School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 3.Department of Public Education,Nanchang Institute of Technology,Nanchang Jiangxi 330044,China |
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| Abstract: | Firstly,an equivalent definition of the S-asmptotically ω-periodic type function is provides,and the existence of S-asymptotically periodic solutions for the following difference equation with superlinear perturbations is investigated.At last,an example is given to point out that the three conditions studied in the theorem are achievable. |
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| Keywords: | difference equations S-asymptotically ω-periodic function superlinear perturbation dependent point convergence |
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