2017
Том 69
№ 9

All Issues

Piecewise-smooth+ version of the implicit-function theorem

Miklyukov V. M.

Full text (.pdf)


Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 5, pp 708-715.

Citation Example: Miklyukov V. M. Piecewise-smooth+ version of the implicit-function theorem // Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 619–625.

Full text