The Bolzano-Poincaré Type Theorems
In 1883–1884, Henri Poincaré announced the result about the structure of the set of zeros of function 𝑓∶𝐼𝑛→𝑅𝑛, or alternatively the existence of solutions of the equation 𝑓(𝑥)=0. In the case 𝑛=1 the Poincaré Theorem is well known Bolzano Theorem. In 1940 Miranda rediscovered the Poincaré Theorem. Ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/793848 |