Display Abstract

Title A global implicit function theorem and its applications

Name Dariusz Idczak
Country Poland
Email idczak@math.uni.lodz.pl
Co-Author(s)
Submit Time 2014-02-25 08:23:11
Session
Special Session 50: Evolution equations and inclusions with applications to control, mathematical modeling and mechanics
Contents
The main result of the paper is a global implicit function theorem. In the proof of this theorem, we use a variational approach and apply Mountain Pass Theorem. An assumption guaranteing existence of an implicit function on the whole space is a Palais-Smale condition. Some applications to integro-differential equations are given.