Singularly perturbed second order semilinear boundary value problems with interface conditions

Boundary value problems

Hongxu Lin¹  Feng Xie¹ 

[1] Department of Applied Mathematics, Donghua University, Shanghai, P.R. China

关键词: singular perturbation;    interface conditions;    lower and upper solutions;    asymptotic estimates;    34E15;    34A36;    34B15;   

DOI  :  10.1186/s13661-015-0309-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we study a class of singularly perturbed interface boundary value problems with discontinuous source terms. We first establish a lemma of lower-upper solutions by using the Schauder fixed point theorem. By the method of boundary functions and the lemma of lower-upper solutions we obtain the existence, asymptotic estimates, and uniqueness of the solution with boundary and interior layers for the proposed problem.

【 授权许可】

CC BY