半线性二阶系统的奇异摄动现象<sup>*</sup>

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半线性二阶系统的奇异摄动现象^*

基金项目: * 福建省科学基金资助课题

摘要: 本文研究半线性二阶系统的奇异摄动现象,在适当的假设下,借助于构造特殊的不变域,证得向量边值问题解的存在及其当ε→0⁺时的渐近性质,在这种不变域中解呈现所谓的边界层现象和角层现象.

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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