The Numbers of Jump Layers of Boundary Value Problems in Quasilinear Differential Equations

Cheng Jian-hua; Zhu Qing

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Cheng Jian-hua, Zhu Qing. The Numbers of Jump Layers of Boundary Value Problems in Quasilinear Differential Equations[J]. Applied Mathematics and Mechanics, 1992, 13(4): 367-371.

Citation:

Cheng Jian-hua, Zhu Qing. The Numbers of Jump Layers of Boundary Value Problems in Quasilinear Differential Equations[J]. Applied Mathematics and Mechanics, 1992, 13(4): 367-371.

Citation:

Cheng Jian-hua, Zhu Qing. The Numbers of Jump Layers of Boundary Value Problems in Quasilinear Differential Equations[J]. Applied Mathematics and Mechanics, 1992, 13(4): 367-371.

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The Numbers of Jump Layers of Boundary Value Problems in Quasilinear Differential Equations

Mathematics Department, Anhui University, Hefei

Received Date: 1990-12-25
Publish Date: 1992-04-15

Abstract

Abstract

This paper discusses the numbers of jump layers of boundary value problems in quasilinear differential equations. In addition, the paper gives several examples to explain why the original equation must be rediscussed when the determinate function in reference [1] is always equal to zero.
- jump layer(free layer, transition layer),
- determinate function,
- zero point,
- shadow,
- approximation

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References(4)

References

[1]	Lutz,R,and T,Sari,Applications of NSA to boundary value problems in singular perturbation theory,Lecture Notes in Math,(942)(1983).
[2]	钱伟长主编,《奇异摄动理论及其在力学中的应用》,科学出版社(1981).
[3]	Lutz,R,and M,Goze,NSAA practical guide with applications,Lecture Notes in Math,(881)(1981).
[4]	盛立人,《非标准分析应用》(讲义),安徽大学数学系(1985).