Wang, Aifeng; Ni, Mingkang The spike-type contrast structures for a nonlinear singularly perturbed second order equation. (Chinese. English summary) Zbl 1199.35011 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 208-216 (2009). Summary: In this paper, a kind of nonlinear singulary perturbed second order equation is considered. Under suitable conditions, a contrast structure solution of this problem is obtained. Using the method of boundary function, the formula asymptotic expansions of the solution is constructed. At the same time, the existence of the solution is proved and the error estimate of this asymptotic solution is obtained. Cited in 3 Documents MSC: 35B25 Singular perturbations in context of PDEs 35K57 Reaction-diffusion equations Keywords:singularly perturbed; spike-type solution; small parameter; boundary function PDFBibTeX XMLCite \textit{A. Wang} and \textit{M. Ni}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 208--216 (2009; Zbl 1199.35011)