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Applied Mathematics and Mechanics

, Volume 9, Issue 12, pp 1131–1138 | Cite as

Singularly perturbed phenomena of semilinear second order systems

  • Lin Zong-chi
  • Lin Su-rong
Article

Abstract

In this paper we consider singular perturbed phenomena of semilinear second order systems, under appropriate assumptions, the existence and asymptotic behavior as ε→0+of solution of vector boundary value problem are proved by constructing special invariant regions in which solutions display so-called boundary layer phenomena and angular layer phenomena.

Keywords

Mathematical Modeling Boundary Layer Asymptotic Behavior Industrial Mathematic Order System 
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References

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Copyright information

© Shanghai University of Technology (SUT) 1988

Authors and Affiliations

  • Lin Zong-chi
    • 1
  • Lin Su-rong
    • 2
  1. 1.Fujian Normal UniversityFuzhou
  2. 2.Fujian TV UniversityFuzhou

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