具有两参数的奇摄动时滞非线性边值问题的冲击波解(英文)  

The Shock Wave Solutions for Singularly Perturbed Time Delay Nonlinear Boundary Value Problems with Two Papameters

作　　者：莫嘉琪[1] 汪维刚 陈贤峰[3] 石兰芳[4] 

机构地区：[1]安徽师范大学数学系,安徽芜湖241003 [2]安庆师范学院桐城教学部,安徽桐城231400 [3]上海交通大学数学系,上海200240 [4]南京信息工程大学数学与统计学院,江苏南京210044

出　　处：《应用数学》2014年第3期470-475,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11371248,11202106);the Natural Sciences Foundation from the Universities of Jiangsu Province(13KJB170016);the Natural Science Foundation from the Education Bureau of Anhui Province,China(KJ2013A133)

摘　　要：本文研究一类具有两参数时滞奇摄非线性问题的冲击波解.在适当的条件下,利用匹配法和微分不等式理论,构造原边值问题冲击波奇摄动解并讨论它的渐近性态.The shock wave solutions for the singularly perturbed nonlinear boundary value problems with time delay parameter and two parameters are considered.Under suitable conditions,using the match methods and the theory of differential inequalities,the asymptotic solution of the shock wave singular perturbation solution for the original boundary value problems is constructed and the asymptotic behavior is studied.

关 键 词：冲击波解 两参数 奇摄动 

分 类 号：O175.14[理学—数学]