Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (12): 1131-1138.

• 论文 • 上一篇    下一篇

SINGULARLY PERTURBED PHENOMENA OF SEMILINEAR SECOND ORDER SYSTEMS

林宗池1, 林苏榕2   

  • 收稿日期:1987-07-20 出版日期:1988-12-18 发布日期:1988-12-18
  • 基金资助:

    Supported by Fujian Science Foundation

SINGULARLY PERTURBED PHENOMENA OF SEMILINEAR SECOND ORDER SYSTEMS

Lin Zong-chi1, Lin Su-rong2   

  1. 1. Fujian Normal University, Fuzhou;
    2. Fujian TV University, Fuzhou
  • Received:1987-07-20 Online:1988-12-18 Published:1988-12-18
  • Supported by:

    Supported by Fujian Science Foundation

摘要: In this paper we consider singular perturbed phenomena of semilinear second ordersystems, under appropriate assumptions, the existence and asymptotic behavior asε→0+ of solution of vector boundary value problem are proved by constructing specialinvariant regions in which solutions display so-called boundary layer phenomena andangular layer phenomena.

Abstract: In this paper we consider singular perturbed phenomena of semilinear second ordersystems, under appropriate assumptions, the existence and asymptotic behavior asε→0+ of solution of vector boundary value problem are proved by constructing specialinvariant regions in which solutions display so-called boundary layer phenomena andangular layer phenomena.

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