Acta mathematica scientia,Series A
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1Wang Aifeng;2Ni Mingkang
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Abstract: 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.
Key words: Singularly perturbed, Spike-type solution, Small parameter, Boundary function.
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Wang Aifeng;Ni Mingkang. The Spike-type Contrast Structures for a Nonlinear Singularly Perturbed Second Order Equation[J].Acta mathematica scientia,Series A, 2009, 29(1): 208-216.
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http://121.43.60.238/sxwlxbA/EN/Y2009/V29/I1/208
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