| 一类交叉单稳型时滞格微分方程行波解的存在性 |
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| 引用本文： | 赵海琴,吴事良.一类交叉单稳型时滞格微分方程行波解的存在性[J].吉林大学学报(理学版),2011,49(5):829-834. |
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| 作者姓名： | 赵海琴 吴事良 |
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| 作者单位： | 1. 咸阳师范学院 数学与信息科学学院, 陕西 咸阳 712000,2. 西安电子科技大学 数学系, 西安 710071 |
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| 基金项目： | 国家自然科学基金(批准号:11026127); 咸阳师范学院引进人才项目(批准号:06XSYK247); 中央高校基本科研业务费(批准号:JY10000970005) |
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| 摘 要： | 通过构造两个拟单调的上下控制方程并利用Schauder不动点定理, 给出并证明了一类交叉单稳型时滞格微分方程行波解的存在性. 结果表明, 即使对这类交叉单稳型的格微分方程, 行波解对所有时滞持久存在.
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| 关 键 词： | 行波解 时滞格微分方程 Schauder不动点定理 交叉单稳非线性项 |
| 收稿时间： | 2010-10-12 |
Existence of Traveling Wave Solutions for Delayed Lattice Differential Equations with Crossing-Monostability |
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| ZHAO Hai-qin,WU Shi-liang.Existence of Traveling Wave Solutions for Delayed Lattice Differential Equations with Crossing-Monostability[J].Journal of Jilin University: Sci Ed,2011,49(5):829-834. |
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| Authors: | ZHAO Hai-qin WU Shi-liang |
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| Institution: | 1. School of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000, Shaanxi Province, China;2. Department of Applied Mathematics, Xidian University, Xi’an 710071, China |
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| Abstract: | The existence of traveling wave solutions of non-local delayed lattice differential equations was proved by constructing two associated auxiliary delayed lattice differential equations with quasi-monotonicity and using the Schauder's fixed point theorem.The result implies that the traveling wave solutions of the delayed lattice differential equations with crossing-monostability are persistent for all values of the delay. |
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| Keywords: | traveling waves solution delayed lattice differential equations Schauder's fixed point theorem crossing-monostable nonlinearity |
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