双参数半线性高阶椭圆型方程的奇摄动解

刘树德;莫嘉琪

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 168-173.

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PDF(312 KB)
系统科学与数学 ›› 2009, Vol. 29 ›› Issue (2) : 168-173. DOI: 10.12341/jssms10106
论文

双参数半线性高阶椭圆型方程的奇摄动解

    刘树德, 莫嘉琪
作者信息 +

Singularly Perturbed Solution for Semilinear Higher OrderElliptic Equations with Two Parameters

    LIU Shude , MO Jiaqi
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文章历史 +

摘要

讨论了一类具有双参数的半线性高阶椭圆型方程边值问题.利用微分不等式理论,研究了边值问题解的存在性和渐近性态.

Abstract

A class of boundary value problems for semilinear higher order elliptic equations with two parameters
is considered. Under suitable conditions, by using the theory of differential inequalities the existence and asymptotic
behavior of solutions for boundary value problems are studied.

关键词

半线性 / 两参数 / 渐近解 / 奇摄动.

Key words

Semilinear / two paramelers / asymptotic solution / singular perturbation.

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刘树德 , 莫嘉琪. 双参数半线性高阶椭圆型方程的奇摄动解. 系统科学与数学, 2009, 29(2): 168-173. https://doi.org/10.12341/jssms10106
LIU Shude , MO Jiaqi. Singularly Perturbed Solution for Semilinear Higher OrderElliptic Equations with Two Parameters. Journal of Systems Science and Mathematical Sciences, 2009, 29(2): 168-173 https://doi.org/10.12341/jssms10106
中图分类号: 35B25   
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