Singularly Perturbed Phenomena of Semilinear Second Order Systems

Lin Zong-chi; Lin Su-rong

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Lin Zong-chi, Lin Su-rong. Singularly Perturbed Phenomena of Semilinear Second Order Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1065-1072.

Citation:

Lin Zong-chi, Lin Su-rong. Singularly Perturbed Phenomena of Semilinear Second Order Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1065-1072.

Citation:

Lin Zong-chi, Lin Su-rong. Singularly Perturbed Phenomena of Semilinear Second Order Systems[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1065-1072.

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Singularly Perturbed Phenomena of Semilinear Second Order Systems

Lin Zong-chi¹,
Lin Su-rong²

1.
Fujian Normal University, Fuzhou;
2.
Fujian TV University, Fuzhou

Received Date: 1987-07-20
Publish Date: 1988-12-15

Abstract

Abstract

In this paper we consider singular perturbed phenomena of semilinear second ordersystems, under appropriate assumptions, the existence and asymptotic behavior as ε→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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References(9)

References

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