Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (6): 543-546.

• 论文 • 上一篇    下一篇

ON THE POSITIVE DEFINITENESS OF A CLASS OF OPERATORS

武际可, 袁勇   

  1. Department of Mechanics, Peking University, Beijing
  • 收稿日期:1986-04-26 出版日期:1987-06-18 发布日期:1987-06-18

ON THE POSITIVE DEFINITENESS OF A CLASS OF OPERATORS

Wu Ji-ke, Yuan Yong   

  1. Department of Mechanics, Peking University, Beijing
  • Received:1986-04-26 Online:1987-06-18 Published:1987-06-18

摘要: In this paper, a proof of the positive definiteness for a class of operators is given. The operators considered are general enough to include those in two- and three-dimensional elasticity, thin plates and shells as their special cases.

关键词: elasticity, generalized variational principle, equivalent theorem, scale transformation, invariance

Abstract: In this paper, a proof of the positive definiteness for a class of operators is given. The operators considered are general enough to include those in two- and three-dimensional elasticity, thin plates and shells as their special cases.

Key words: elasticity, generalized variational principle, equivalent theorem, scale transformation, invariance

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals