Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case

Min Kan Ni; Ai Feng Wang

doi:10.1134/S0012266116120053

Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case

Min Kan Ni, Ai Feng Wang

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.

Original language	English
Pages (from-to)	1575-1584
Number of pages	10
Journal	Differential Equations
Volume	52
Issue number	12
DOIs	https://doi.org/10.1134/S0012266116120053
State	Published - 1 Dec 2016

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title = "Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case",

abstract = "For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.",

author = "Ni, \{Min Kan\} and Wang, \{Ai Feng\}",

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N2 - For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.

AB - For an n-dimensional singularly perturbed system of differential equations, we construct the asymptotics of a solution with a step-like contrast structure in the critical case. We prove the existence of a solution and obtain an estimate for the remainder terms of the asymptotic representation of this solution.

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DO - 10.1134/S0012266116120053

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JO - Differential Equations

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Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case

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