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The Spike-Type Solution of Second-Order Semilinear Differential Equation with Integral Boundary Conditions
  • ISSN号：1671-0444
  • 期刊名称：《东华大学学报：自然科学版》
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Applied Mathematics, Donghua University, Shanghai 201621, China, [2]Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200030, China
  • 相关基金：National Natural Science Foundation of China（No.10701023）; the Fundamental Research Funds for the Central Universities,China; E-Institutes of Shanghai Municipal Education Commission,China（No.E03004）; Natural Science Foundation of Shanghai,China（No.10ZR1400100）
作者： 谢峰[1,2], 金朝阳[1]
关键词： 尖铁类型答案, 单个不安, 不可分的边界条件, spike-type solution, singular perturbation, integral boundary conditions
中文摘要：

A singularly perturbed second-order semilinear differential equation with integral boundary conditions is considered. By the method of boundary functions, the conditions under which there exists an internal transition layer for the original problem are established. The existence of spike-type solution is obtained by smoothly connecting the solutions of left and right associated problems, and the asymptotic expansion of the spike-type solution is also presented.

英文摘要：

A singularly perturbed second-order semilinear differential equation with integral boundary conditions is considered. By the method of boundary functions, the conditions under which there exists an internal transition layer for the original problem are established. The existence of spike-type solution is obtained by smoothly connecting the solutions of left and right associated problems, and the asymptotic expansion of the spike-type solution is also presented.

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期刊信息
  • 《东华大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:东华大学
  • 主编：王善元
  • 地址：上海市延安西路1882号
  • 邮编：200051
  • 邮箱：xuebao@dhu.edu.cn
  • 电话：021-62373643
  • 国际标准刊号：ISSN：1671-0444
  • 国内统一刊号：ISSN：31-1865/N
  • 邮发代号:4-123
  • 获奖情况:
  • 1996年获纺织工业总会核心期刊,1996年高校学报评比二等奖
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  • 被引量:6715