具双参数非线性高阶椭圆型方程的奇摄动解

莫嘉琪,林万涛,杜增吉

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (2) : 217-221.

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PDF(248 KB)
系统科学与数学 ›› 2013, Vol. 33 ›› Issue (2) : 217-221. DOI: 10.12341/jssms12041
论文

具双参数非线性高阶椭圆型方程的奇摄动解

    莫嘉琪1,林万涛2,杜增吉3
作者信息 +

A SINGULARLY PERTURBED SOLUTION FOR NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH TWO  PARAMETERS

    MO Jiaqi1,LIN Wantao2,U Zengji3
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文章历史 +

摘要

讨论了一类具有双参数的非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 the nonlinear higher order elliptic equations with two parameters is considered. Under suitable conditions, by using theory of differential inequalities the existence and asymptotic behavior of solution for the boundary value problem are established.

关键词

非线性 / 两参数 / 渐近解 / 奇摄动.

Key words

Nonlinear, two parameters, asymptotic solution,  / singular perturbation.

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莫嘉琪,林万涛,杜增吉. 具双参数非线性高阶椭圆型方程的奇摄动解. 系统科学与数学, 2013, 33(2): 217-221. https://doi.org/10.12341/jssms12041
MO Jiaqi,LIN Wantao,DU Zengji. A SINGULARLY PERTURBED SOLUTION FOR NONLINEAR HIGHER ORDER ELLIPTIC EQUATIONS WITH TWO  PARAMETERS. Journal of Systems Science and Mathematical Sciences, 2013, 33(2): 217-221 https://doi.org/10.12341/jssms12041
中图分类号: 35B25   
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