| 单稳格动力系统在周期介质中的行波解的渐近行为 |
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| 引用本文： | 史振霞.单稳格动力系统在周期介质中的行波解的渐近行为[J].兰州铁道学院学报,2014(6):158-160. |
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| 作者姓名： | 史振霞 |
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| 作者单位： | 兰州交通大学 数理学院,甘肃 兰州,730070 |
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| 基金项目： | 兰州交通大学青年科学基金 |
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| 摘 要： | 行波解是格动力系统的一种稳态解,通常决定着相应Cauchy问题的长时间渐近行为,揭示了格动力系统所包含的许多特性,如唯一性、稳定性等.而在考虑格动力系统的唯一性和稳定性时,通常需要了解其行波解的渐近行为.通过构造合适的上、下解,并结合系统所满足的比较原理,证明单稳型格动力系统在周期介质中的行波解的渐近行为.
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| 关 键 词： | 格动力系统 行波解 渐近行为 上下解 |
The Asymptotic Behavior of Traveling Waves for Periodic Monostable Lattice Dynamical System |
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| SHI Zhen-xia.The Asymptotic Behavior of Traveling Waves for Periodic Monostable Lattice Dynamical System[J].Journal of Lanzhou Railway University,2014(6):158-160. |
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| Authors: | SHI Zhen-xia |
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| Institution: | SHI Zhen-xia (School of Mathernatics and Physics, Lanzhou Jiaotong University, Lanzhou 730070 ,China) |
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| Abstract: | Traveling wave solution is a steady-state solution of lattice dynamical system.Traveling wave solution usually determines the long time behavior of the corresponding Cauchy problems and reveals the system containing many features,such as uniqueness and stability.When considering the uniqueness and stability,we need to understand the asymptotic behavior of traveling wave solutions.By constructing an appropriate super-solution and sub-solution,and using the comparison principle and the extrusion technology,the asymptotic behavior of traveling waves for periodic monostable lattice dynamical system is proved. |
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| Keywords: | lattice dynamical system traveling wave solution asymptotic behavior super-sub solution |
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