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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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摘要 In this paper, we studied a method of averaging which decide a uniform validsolution for nonlinear equationand got the ,modified forms for KB ,method (Krylov-Bogoliubov method)and KBMmethod (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. In this paper, we studied a method of averaging which decide a uniform validsolution for nonlinear equationand got the ,modified forms for KB ,method (Krylov-Bogoliubov method)and KBMmethod (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.
作者 张宝善
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第12期1177-1186,共10页 应用数学和力学(英文版)
关键词 KB method KBM method method of multiple scales. uniformlyvalid solution KB method, KBM method, method of multiple scales. uniformlyvalid solution
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