On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions

Feng Xie; Zhaoyang Jin; Mingkang Ni

doi:10.14232/ejqtde.2010.1.62

On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions

Feng Xie^*
, Zhaoyang Jin
, Mingkang Ni

^*Corresponding author for this work

School of Mathematical Sciences

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

8 Scopus citations

Abstract

In this paper we investigate the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions. The asymptotic solution is constructed by the boundary function method, and the uniform validity of the formal solution is proved by the theory of differential equalities.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Electronic Journal of Qualitative Theory of Differential Equations
DOIs	https://doi.org/10.14232/ejqtde.2010.1.62
State	Published - 2010

Keywords

Contrast structure
Integral boundary conditions
Singular perturbation

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10.14232/ejqtde.2010.1.62

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title = "On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions",

abstract = "In this paper we investigate the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions. The asymptotic solution is constructed by the boundary function method, and the uniform validity of the formal solution is proved by the theory of differential equalities.",

keywords = "Contrast structure, Integral boundary conditions, Singular perturbation",

author = "Feng Xie and Zhaoyang Jin and Mingkang Ni",

year = "2010",

doi = "10.14232/ejqtde.2010.1.62",

language = "英语",

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T1 - On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions

AU - Xie, Feng

AU - Jin, Zhaoyang

AU - Ni, Mingkang

PY - 2010

Y1 - 2010

N2 - In this paper we investigate the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions. The asymptotic solution is constructed by the boundary function method, and the uniform validity of the formal solution is proved by the theory of differential equalities.

AB - In this paper we investigate the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions. The asymptotic solution is constructed by the boundary function method, and the uniform validity of the formal solution is proved by the theory of differential equalities.

KW - Contrast structure

KW - Integral boundary conditions

KW - Singular perturbation

UR - https://www.scopus.com/pages/publications/78149490960

U2 - 10.14232/ejqtde.2010.1.62

DO - 10.14232/ejqtde.2010.1.62

M3 - 文章

AN - SCOPUS:78149490960

SN - 1417-3875

SP - 1

EP - 14

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

ER -

On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions

Abstract

Keywords

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