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Singularly perturbed second order semilinear boundary value problems with interface conditions.
- Source :
-
Boundary Value Problems . 3/1/2015, Vol. 2015, p1-16. 16p. - Publication Year :
- 2015
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2015
- Database :
- Academic Search Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 102109277
- Full Text :
- https://doi.org/10.1186/s13661-015-0309-5