A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY DIFFERENTIAL EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (10): 929-937.

A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY DIFFERENTIAL EQUATION

林鹏程, 江本铦

Fuzhou University, Fuzhou

收稿日期:1986-10-06 出版日期:1987-10-18 发布日期:1987-10-18

A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY DIFFERENTIAL EQUATION

Lin Peng-cheng, Jiang Ben-xian

Fuzhou University, Fuzhou

Received:1986-10-06 Online:1987-10-18 Published:1987-10-18

摘要/Abstract

摘要： 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.

关键词: three-dimensional frame, quasi-plate method, bifurcation, chaos

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.

Key words: three-dimensional frame, quasi-plate method, bifurcation, chaos

林鹏程;江本铦. A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(10): 929-937.

Lin Peng-cheng;Jiang Ben-xian. A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(10): 929-937.

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A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY DIFFERENTIAL EQUATION

A SINGULAR PERTURBATION PROBLEM FOR PERIODIC BOUNDARY DIFFERENTIAL EQUATION

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