A Singular Perturbation Problem for Periodic Boundary Differential Equation

Lin Peng-cheng; Jiang Ben-xian

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Lin Peng-cheng, Jiang Ben-xian. A Singular Perturbation Problem for Periodic Boundary Differential Equation[J]. Applied Mathematics and Mechanics, 1987, 8(10): 877-884.

Citation:

Lin Peng-cheng, Jiang Ben-xian. A Singular Perturbation Problem for Periodic Boundary Differential Equation[J]. Applied Mathematics and Mechanics, 1987, 8(10): 877-884.

Citation:

Lin Peng-cheng, Jiang Ben-xian. A Singular Perturbation Problem for Periodic Boundary Differential Equation[J]. Applied Mathematics and Mechanics, 1987, 8(10): 877-884.

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A Singular Perturbation Problem for Periodic Boundary Differential Equation

Fuzhou University, Fujian

Received Date: 1986-10-06
Publish Date: 1987-10-15

Abstract

Abstract

In this paper, we consider a second order ordinary differential equation with a small, positive parameter ε in its highest derivative for periodic boundary values problem and prove that the solution of difference scheme in paper [1] uniformly converges to the solution of its original problem with order one.

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