| 具有全局交互作用的时滞周期格微分系统的front-like整体解 |
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| 引用本文： | 薛雪.具有全局交互作用的时滞周期格微分系统的front-like整体解[J].应用数学和力学,2020(2):223-234. |
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| 作者姓名： | 薛雪 |
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| 作者单位： | 西安电子科技大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11671315)~~ |
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| 摘 要： | 研究了一类一维空间周期格上的具有时滞和全局交互作用的微分系统的front⁃like整体解.通过建立适当的比较原理,并融合不同方向的波前解与连接稳定态和不稳定态的空间周期解,构造了front⁃like整体解并证明了一些定性性质.与波前解相比,front⁃like整体解能够展示出新的动力学行为.
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| 关 键 词： | 周期格动力系统 空间周期解 front⁃like整体解 比较原理 |
Front-Like Entire Solutions to Lattice Periodic Dynamic Systems With Delays and Global Interaction |
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| XUE Xue.Front-Like Entire Solutions to Lattice Periodic Dynamic Systems With Delays and Global Interaction[J].Applied Mathematics and Mechanics,2020(2):223-234. |
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| Authors: | XUE Xue |
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| Institution: | (School of Mathematics and Statistics,Xidian University,Xi’an 710071,P.R.China) |
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| Abstract: | The front⁃like entire solutions to lattice periodic dynamic systems with delays and global interaction were investigated.Through establishment of appropriate comparison theo⁃rems,some front⁃like entire solutions were constructed out of mixture of the traveling fronts with different directions of propagation and spatially periodic solutions connecting unstable e⁃quilibrium and stable equilibrium.Some properties of these entire solutions were also discussed.The front⁃like entire solutions,exhibiting new characteristic behaviors in the front dynamics,are different from the traveling fronts. |
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| Keywords: | lattice periodic dynamic system spatially periodic solution front⁃like entire solu⁃tion comparison theorem |
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