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| 时滞格微分方程组的行波解 | |
| 引用本文： | 黄建华,路钢. 时滞格微分方程组的行波解[J]. 数学年刊A辑(中文版), 2004, 0(2) |
| 作者姓名： | 黄建华 路钢 |
| 作者单位： | 湖南大学数学与计量经济学院，华中师范大学数学系 长沙 410082，国防科技大学数学系，长沙 410073，武汉 430079 |
| 基金项目： | 国家自然科学基金(No.19971032)资助的项目. |
| 摘 要： | 本文利用Schauder不动点定理的方法和上、下解技巧,研究了时滞格微分方程组的行波解,给出了当系统的非线性项满足“拟单调条件”和“指数拟单调条件”时行波解的存在性. |
| 关 键 词： | 行波解 Schauder不动点定理 上下解 拟单调性 |
TRAVELING WAVE SOLUTIONS IN SYSTEMS OF DELAYED LATTICE DIFFERENTIAL EQUATIONS |
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| HUANG Jianhua LU GangCollege of Mathematics and Econometrics,Hunan University,Chongsha ,China. TRAVELING WAVE SOLUTIONS IN SYSTEMS OF DELAYED LATTICE DIFFERENTIAL EQUATIONS[J]. Chinese Annals of Mathematics, 2004, 0(2) | |
| Authors: | HUANG Jianhua LU GangCollege of Mathematics Econometrics Hunan University Chongsha China |
| Affiliation: | HUANG Jianhua LU GangCollege of Mathematics and Econometrics,Hunan University,Chongsha 410082,China, Department of Mathematics,National University of Defense Technology,Changsha 410073,China.Department of Mathematics,Central China Normal University,Wuhan 430079,China. |
| Abstract: | This paper investigates the systems of delayed lattice differential equations. By Schauder fixed point theorem and upper-lower solutions technique, the existences of traveling wave front solution are established, both quasimonotone case and non-quasimonotone case are considered. |
| Keywords: | Traveling wave fronts Schauder fixed point theorem Upper and lower solutions Quasimonotonicity |
| 本文献已被 CNKI 等数据库收录！ | |