A MODIFIED METHOD OF AVERAGING FOR SOLVING A CLASS OFNONLINEAR EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (12): 1177-1186.

• 论文 • 上一篇

A MODIFIED METHOD OF AVERAGING FOR SOLVING A CLASS OFNONLINEAR EQUATIONS

张宝善

Depariment of Math., Xuzhou Teachers College, Xuzhou

收稿日期:1994-02-28 出版日期:1994-12-18 发布日期:1994-12-18
基金资助:
Projects supported by the Natural Science Foundation of Jiangsu Province

A MODIFIED METHOD OF AVERAGING FOR SOLVING A CLASS OFNONLINEAR EQUATIONS

Zhang Bao-shan

Depariment of Math., Xuzhou Teachers College, Xuzhou

Received:1994-02-28 Online:1994-12-18 Published:1994-12-18
Supported by:
Projects supported by the Natural Science Foundation of Jiangsu Province

摘要/Abstract

摘要： In this paper, we studied a method of averaging which decide a uniform valid solution for nonlinear equation and got the, modified forms for KB, method (Krylov-Bogoliubov method)and KBM method (Krytov-Bogoliubov-Mitropolski method). Through the comparison of two examples with the method of multiple scales it can be shown that the modifies averaging methods here are uniformly valid and thereby the applied area of the methodof averaging are extended.

关键词: composite, shear deformation plates, Kármán equations, KB method, KBM method, method of multiple scales, uniformlyvalid solution

Abstract: In this paper, we studied a method of averaging which decide a uniform valid solution for nonlinear equation and got the, modified forms for KB, method (Krylov-Bogoliubov method)and KBM method (Krytov-Bogoliubov-Mitropolski method). Through the comparison of two examples with the method of multiple scales it can be shown that the modifies averaging methods here are uniformly valid and thereby the applied area of the methodof averaging are extended.

Key words: composite, shear deformation plates, Kármán equations, KB method, KBM method, method of multiple scales, uniformlyvalid solution

张宝善. A MODIFIED METHOD OF AVERAGING FOR SOLVING A CLASS OFNONLINEAR EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(12): 1177-1186.

Zhang Bao-shan. A MODIFIED METHOD OF AVERAGING FOR SOLVING A CLASS OFNONLINEAR EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(12): 1177-1186.

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A MODIFIED METHOD OF AVERAGING FOR SOLVING A CLASS OFNONLINEAR EQUATIONS

A MODIFIED METHOD OF AVERAGING FOR SOLVING A CLASS OFNONLINEAR EQUATIONS

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