拟线性方程边值问题的跳跃层个数

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

摘要: 本文讨论了拟线性微分方程边值问题的跳跃层个数.并且指出,当文献[1]所给判断函数恒等于零时,原方程必须重新讨论.本文给出几例以示说明.
- 跳跃层 /
- 判断函数 /
- 零点 /
- 影 /
- 逼近
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

[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).