Singular Perturbation Solution of Boundary-Value Problem for a Second-Order Differential-Difference Equation

Xu Jun-tao

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(7): 629-640

Xu Jun-tao. Singular Perturbation Solution of Boundary-Value Problem for a Second-Order Differential-Difference Equation[J]. Applied Mathematics and Mechanics, 1988, 9(7): 629-640.

Citation:

Xu Jun-tao. Singular Perturbation Solution of Boundary-Value Problem for a Second-Order Differential-Difference Equation[J]. Applied Mathematics and Mechanics, 1988, 9(7): 629-640.

Citation:

Xu Jun-tao. Singular Perturbation Solution of Boundary-Value Problem for a Second-Order Differential-Difference Equation[J]. Applied Mathematics and Mechanics, 1988, 9(7): 629-640.

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Singular Perturbation Solution of Boundary-Value Problem for a Second-Order Differential-Difference Equation

Xu Jun-tao

East China Normal University, Shanghai

Received Date: 1987-04-20
Publish Date: 1988-07-15

Abstract

Abstract

It this paper, the method of two-variables expansion is used to construct boundary layer terms of asymptotic solution of the boundary-value problem for a second-order DDE. The n-order formal asymptotic solution is obtained and the error is estimated. Thus the existence of uniformly valid asymptotic solution is proved.

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References(8)

References

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[8]	Xu Jun-tao. Singular perturbation of boundary-value problem for a second-order differentialdiference equation. Ann. of Diff. Eqs., 2, 1 (1986), 47-64.