Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (3): 277-290.

• 论文 •    下一篇

Variation Transforming Analysis (II)

吴学谋   

  1. Wuhan Digital Engineering Research Institute
  • 收稿日期:1980-04-01 出版日期:1981-05-18 发布日期:1981-05-18

Variation Transforming Analysis (II)

Wu Xue-mou   

  1. Wuhan Digital Engineering Research Institute
  • Received:1980-04-01 Online:1981-05-18 Published:1981-05-18

摘要: This paper introduces some related concepts of pansystems analysis (such as pansystem, pansystem space, pansystem logic space, pometric pansystem, etc), and develops the convex set theory, Banach's theorem of completeness, Lax equivalence theory, theorems of Kuhn-Tucker type and Dubovitsky-Milutin type into the pometric (partial ordered metric) pansystem forms, they are different from traditional results. Furthermore, the general stability of operator equations and MSP transforming principles of approximation are investigated.

关键词: nonlinear dynamical system, modified normal form approach, symbolic calculations

Abstract: This paper introduces some related concepts of pansystems analysis (such as pansystem, pansystem space, pansystem logic space, pometric pansystem, etc), and develops the convex set theory, Banach's theorem of completeness, Lax equivalence theory, theorems of Kuhn-Tucker type and Dubovitsky-Milutin type into the pometric (partial ordered metric) pansystem forms, they are different from traditional results. Furthermore, the general stability of operator equations and MSP transforming principles of approximation are investigated.

Key words: nonlinear dynamical system, modified normal form approach, symbolic calculations

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