Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System

Zhou Yali; You Zhefeng; Lin Zongchi

Volume 19 Issue 6

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(6): 497-504

Zhou Yali, You Zhefeng, Lin Zongchi. Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System[J]. Applied Mathematics and Mechanics, 1998, 19(6): 497-504.

Citation:

Zhou Yali, You Zhefeng, Lin Zongchi. Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System[J]. Applied Mathematics and Mechanics, 1998, 19(6): 497-504.

Citation:

Zhou Yali, You Zhefeng, Lin Zongchi. Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System[J]. Applied Mathematics and Mechanics, 1998, 19(6): 497-504.

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Singular Perturbation of General Boundary Value Problem for Nonlinear Differential Equation System

1.
Quanzhou Liming Occupation University, Quanzhou, Fujian 362000, P. R. China;
2.
Mathematics Department, Fujian Normal University, Fuzhou 350007, P. R. China

Received Date: 1996-09-06
Publish Date: 1998-06-15

Abstract

Abstract

In this paper, the singular perturbation of nonlinear differential equation system with nonlinear boundary conditions is discussed. Under suitable assumptions, with the asymptotic method of Lyusternik-Vishik^[1] and fixed point theory, the existence of the solution of the perturbation problem is proved and its uniformly valid asymptotic expansion of higher order is derived.
- nonlinear system,
- nonlinear boundary condition,
- singular perturbation,
- asymptotic expansion

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References(8)

References

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[2]	林宗池、林苏榕,拟线性常微分方程组边值问题解的估计,应用数学和力学,11(11)(1990),969-976.
[3]	黄蔚章,拟线性常微分方程组边值问题解的估计,应用数学和力学,13(8)(1992),719-727.
[4]	林宗池、林苏榕,非线性微分方程组Robin边值问题解的渐近式,福建师大学报(自然科学版),11(2)(1995),1-9.
[5]	F.A.Howes and R.E.ÓcMalley,Jr.,Singular perturbation of semilinear second order systems,Lecture Notesin Math,827,Springer Berlin(1980),131-150.
[6]	R.E.ÓcMalley,Jr.,Singular perturbations of a differential equations,J.Diff.Eqs.,8(1970),431-447.
[7]	江福汝,关于常微分方程非线性边值问题的奇异摄动,中国科学,A辑(3)(1985),280-292.
[8]	林宗池,具有非线性边界条件的二阶非线性系统的奇摄动,福建师大学报(自然科学版 ),7(3)(1991),13-20.

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