一类非线性奇摄动方程解的渐近表示(英文)The asymptotic solutions for a class of singularly perturbed nonlinear equaitons
陈松林
摘要(Abstract)：
应用匹配渐近方法讨论一类非线性奇异摄动方程的边值问题解的渐近表示 ,得到了边界层或冲击层解的刻画 ,阐述了边界参数对边界层或冲击层位置的影响
关键词(KeyWords)： 非线性微分方程;匹配理论;边界层;冲击层
基金项目(Foundation): 安徽省教育厅自然科学研究资助项目
作者(Author): 陈松林
参考文献(References)：
- [1] R E O Malley,Jr.On the asymptotic solution of the singularly perturbed boundary value problems posedbyBohe[J].J.Math.Anal.Appl.,2000,242(1):18～38.
- [2] BoheA.The shock location for a class of sensitive boundary value problems[J].J.Math.Anal.Appl.,1999,235(2):295～314.
- [3] LaforgueJG,R E O Malley.Shock layer movement forBurgers equation[J].SIAM J.Appl.Math.,1995,55(2):332～348.
- [4] MoJiaqi&S Shao.The singularly perturbed boundary value problems for higher- order semilinearelliptic equations[J].Advances inMath.,2001,30(12):141～148.
- [5] ChenSonglin.Asymptotics of the solution of a initial- boundary problem for a semilinear singularlyperturbed reaction diffusion equation[J].ApplMath.,2001,14(2):17～21.
- [6] NayfehA H.Introduction toPerturbedTechniques[M].JohnWeiley&Sons,NewYork:Elsevier,1981.
- [7] E M.deJager,JiangFuru.The theory of singular perturbations[M].Amsterdam:North-Holland,1996