| 非拟单调非局部扩散时滞方程波前解的不存在性 |
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| 引用本文： | 朱福国,林国.非拟单调非局部扩散时滞方程波前解的不存在性[J].兰州大学学报(自然科学版),2011,47(5). |
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| 作者姓名： | 朱福国 林国 |
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| 作者单位： | 1. 河西学院数学与统计学院,甘肃张掖,734000
2. 兰州大学数学与统计学院,兰州,730000 |
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| 基金项目： | 甘肃省自然科学基金项目(096RJZA051) |
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| 摘 要： | 考虑了一类不满足拟单调条件非局部扩散时滞方程的波前解问题.借助于比较原理以及渐近传播理论,给出了这类演化方程波前解不存在性的判别标准.该结果可用来研究某些非拟单调方程存在波前解的最小波速.这些结论被应用到具有非局部扩散的Hutchinson型方程并给出了最小波速的具体表达式.
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| 关 键 词： | 比较原理 波前解 渐近传播 最小波速 |
Nonexistence of traveling wave fronts of delayed nonlocal diffusion equations without quasimonotonicity |
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| ZHU Fu-guo,LIN Guo.Nonexistence of traveling wave fronts of delayed nonlocal diffusion equations without quasimonotonicity[J].Journal of Lanzhou University(Natural Science),2011,47(5). |
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| Authors: | ZHU Fu-guo LIN Guo |
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| Institution: | ZHU Fu-guo~1,LIN Guo~2 1.School of Mathematics and Statistics,Hexi University,Zhangye 734000,Gansu,China 2.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China |
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| Abstract: | The traveling wave fronts of delayed nonlocal diffusion equations without quasimonotonicity were discussed and the nonexistence of traveling wave fronts was proved by the theory of asymptotic spreading and comparison principle,which implies some conclusions on the minimal wave speed of traveling wave fronts.To illustrate these results,the formulation of the minimal wave speed of the Hutchinson equation was obtained. |
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| Keywords: | comparison principle traveling wave front asymptotic spreading minimal wave speed |
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