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

Zhou Yali; You Zhefeng; Lin Zongchi

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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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