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

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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

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

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