留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

奇摄动向量问题的边界层和内层现象

张祥

张祥. 奇摄动向量问题的边界层和内层现象[J]. 应用数学和力学, 1990, 11(11): 999-1005.
引用本文: 张祥. 奇摄动向量问题的边界层和内层现象[J]. 应用数学和力学, 1990, 11(11): 999-1005.
Zhang Xiang. Boundary and Interior Layer Behavior for Singularly Perturbed Vector Problem[J]. Applied Mathematics and Mechanics, 1990, 11(11): 999-1005.
Citation: Zhang Xiang. Boundary and Interior Layer Behavior for Singularly Perturbed Vector Problem[J]. Applied Mathematics and Mechanics, 1990, 11(11): 999-1005.

奇摄动向量问题的边界层和内层现象

基金项目: 国家自然科学基金资助的项目

Boundary and Interior Layer Behavior for Singularly Perturbed Vector Problem

  • 摘要: 本文考虑非线性向量边值问题:εy″=f(x,y,z,y',ε), y(0)=A1 y(1)=B1 εz″=f(x,y,z,z',ε), z(0)=A2 z(1)=B2其中ε是正的小参数,0≤x≤1,f,g是R4中的连续函数。在适当的假设下,利用微分不等式理论,我们证明了上述问题的解的存在性,并得到包括边界层和内层在内的解的估计.
  • [1] 莫嘉琪,用微分不等式对二阶拟线性方程奇摄动解的估计,数学研究与评论,.(1988), 86-91.
    [2] Hooves.F. A., Effective characterization of the asymptotic behavior of solutions of singularly perturbed boundary value problem, SIAM. J. Appl. Mcrth.,30,(1976), 296-305.
    [3] Hooves, F.A., Differential inequalities of higher order and the asymptotic solution of nonlinear boundary value problems. SIAM. J. Math:. Anal., 13, 1(1982),6l-82.
    [4] Lin Zhong-chi(林宗池), Sorne estimations of solution of nonlinear boundary value problem for second order systems, 数学物理学报,7, 2 (1987), 229-259.
    [5] Lin Zhong-chi(林宗池), The higher order approximation of solution of quasilinear second order systems for singular perturbation, Chin. Ann. of Math., 8B, 3(1987), 357-363.
    [6] Chang, G. W., Diagonalization method for a vector boundary value problem of singular perturbation type, J. Math. Anal. Appl.,48(1974), 652-665.
    [7] Kelley, W.G.Existence and uniqueness of solutions for vector problems containing small parameters. J. Math. Anal. 4pp1.,131(1988), 295-312
    [8] Lan, Chin-chin, Boundary value problem for second and third order differential equations,.J. Diff.Equs, 18, 2(1975), 258-274.
    [9] 刘光旭,关于奇摄动拟线性系统,应用数学和力学,8 1 (1987), 987-978.
  • 加载中
计量
  • 文章访问数:  1851
  • HTML全文浏览量:  90
  • PDF下载量:  655
  • 被引次数: 0
出版历程
  • 收稿日期:  1988-12-12
  • 刊出日期:  1990-11-15

目录

    /

    返回文章
    返回