A PRIORI ESTIMATES FOR SOLUTIONS TO A FOUR POINT BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED SEMILINEAR DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Vrabel, Robert [1 ]
机构：
[1] Fac Mat Sci & Technol, Inst Appl Informat Automat & Math, Trnava 91701, Slovakia
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年
关键词：
Singular perturbation; four point boundary value problem; lower and upper solutions; POSITIVE SOLUTIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article concerns the existence and asymptotic behavior of solutions to a singularly perturbed second-order four-point boundary-value problem for nonlinear differential equations. Our analysis relies on the method of lower and upper solutions. We give accurate approximations of the solutions up to order O(epsilon).
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页数：7
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