| 一类带有高阶非线性项的短脉冲系统解的解析性 |
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| 引用本文： | 尹晓宇,郁胜旗. 一类带有高阶非线性项的短脉冲系统解的解析性[J]. 南通大学学报(自然科学版), 2018, 17(3): 60-65 |
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| 作者姓名： | 尹晓宇 郁胜旗 |
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| 作者单位： | 南通大学 理学院,江苏 南通 226019 |
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| 基金项目： | 国家自然科学基金项目（11501309）;江苏省自然科学基金项目（BK20150400） |
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| 摘 要： | 研究了空间周期情形下一类带有高阶非线性项的短脉冲系统解的定性性质.借助幂级数方法,采用自治的Ovsyannikov定理证明了带有解析初值的该系统的解关于时间变量和空间变量都是解析的,并且给出了解的最大存在时刻估计.
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| 关 键 词： | 非线性短脉冲系统 解析性 解的最大存在时刻 |
Analyticity of Solutions to a Short Pulse System with Higher Order Nonlinearities |
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| YIN Xiaoyu,YU Shengqi. Analyticity of Solutions to a Short Pulse System with Higher Order Nonlinearities[J]. Journal of Nantong University (Natural Science Edition), 2018, 17(3): 60-65 |
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| Authors: | YIN Xiaoyu YU Shengqi |
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| Affiliation: | School of Sciences, Nantong University, Nantong 226019, China |
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| Abstract: | This paper is mainly concerned about the qualitative properties of a short pulse system with higher nonlinearities in the periodical setting. By using the power series method, it is proved that the solutions to this system is analyticity in both variables, locally in time and globally in space with the application of autonomous Ovsyannikov theorem, and a lifespan estimate of the solution is provided. |
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| Keywords: | nonlinearities short pulse system analyticity lifespan estimate |
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