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具有不连续源的奇摄动边值问题 被引量：4

SINGULAR PERTURBED BOUNDARY VALUE PROBLEM WITH DISCONTINOUS SOURCE TERMS
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摘要 本文研究了具有不连续源的奇摄动边值问题.利用边界层函数法和缝接法,得到了整个区间上原问题解的一致有效的渐近表达式. In this paper,a class of singularly perturbed boundary value problems with discontinuous source terms is considered.Using the method of boundary functions and sewing orbit smooth,the uniformly valid asymptotic expression of the solution is obtained.
作者 丁海云 倪明康
机构地区 华东师大数学系 上海海事大学数学系 上海高校计算科学E-研究院上海交大研究所
出处 《数学杂志》 CSCD 北大核心 2012年第6期1121-1128,共8页 Journal of Mathematics
基金 上海国家科学基金会资助(10ZR1409200) 上海市教育委员会E-研究院建设项目资助(E03004) 上海市重点学科建设项目资助(B407)
关键词 奇摄动 渐近级数 边界层函数法 微分流形 singular perturbation asymptotic expansion boundary layer function invariable manifold
分类号 O175.14 [理学—基础数学]
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参考文献9

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二级参考文献3

共引文献9

同被引文献16

  • 1莫嘉琪.在局部区域上的奇摄动反应扩散方程初始边值问题[J].系统科学与数学,2005,25(1):63-68. 被引量：6
  • 2周钦德,苗树梅.关于微分差分方程的边值问题[J].数学学报（中文版）,1989,32(1):55-70. 被引量：17
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  • 5Farrell P A,Hegarty A F,Miller J J H,QRiordan E,Shishkin G I.Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient[J],Mathematics and Computer Modelling,2004,40:1375-1392.
  • 6Farrell P AJXRiordan E,Shishkin GI.A class of singularly perturbed quasilinear differential equations with interior layers[J].Mathematics of Computation,2009,78:103-127.
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  • 8DING Haiyun,NI MingkangfLIN Wuzhong,CAO Yang.Singularly perturbed semi-linear boundary value problem with discontinuous function[J].Acta Mathematica Scientia:Series B,2012,32B(2);793-799.
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  • 10王秀青,蔡立军.竞争环境下的广告策略研究[J].纺织高校基础科学学报,2009,22(3):404-408. 被引量：3

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数学杂志
2012年 第6期

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