We prove a rather general mean-value formula in the theory of elasticity, which expresses the value of the displacement at the centre of a sphere in terms of certain combinations of integral averages over the sphere itself of the traction and the displacement. We also establish the corresponding con
A Generalization of a Classic Theorem in the Perturbation Theory for Linear Operators
β Scribed by J. Ding; L.J. Huang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 280 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We present a new proof of the well known theorem on the existence of signed (integral) t-designs due to Wilson and Graver and Jurkat.
## Abstract A basic result in intuitionism is Ξ ^0^~2~βconservativity. Take any proof __p__ in classical arithmetic of some Ξ ^0^~2~βstatement (some arithmetical statement β__x__.β__y__.__P__(__x, y__), with __P__ decidable). Then we may effectively turn __p__ in some intuitionistic proof of the same
In this paper, by using particular techniques, two existence theorems of solutions for generalized quasi-variational inequalities, a minimax theorem, and a section theorem in the spaces without linear structure are established; and finally, a new coincidence theorem in locally convex spaces is obtai