2019
Том 71
№ 9

All Issues

Miklyukov V. M.

Articles: 1
Article (Russian)

Piecewise-smooth+ version of the implicit-function theorem

Miklyukov V. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 619–625

We introduce a class of piecewise-smooth + mappings and prove the implicit-function theorem for this class. The proof is based on the theorem on global homeomorphism, which follows from the well-known Chernavskii theorem.