Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
ON A GLOBAL IMPLICIT FUNCTION THEOREM FOR LOCALLY LIPSCHITZ MAPS VIA NON-SMOOTH CRITICAL POINT THEORY. |
| Συγγραφείς: |
GALEWSKI, MAREK1 marek.galewski@p.lodz.pl, RĂDULESCU, MARIUS2 mradulescu.csmro@yahoo.com |
| Πηγή: |
QM - Quaestiones Mathematicae. Jul2018, Vol. 41 Issue 4, p515-528. 14p. |
| Θεματικοί όροι: |
*Implicit functions, *Algebraic functions, *Lipschitz spaces, *Algebraic equations, *Banach spaces, *Mathematics theorems, *Mathematical functions |
| Περίληψη: |
We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem for locally Lipschitz functions. A comparison between several global inversion theorems is discussed. Applications to algebraic equations are given. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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