Mathematics

In this talk I will present Mawhin's coincidence degree, which is a generalization of the classical Leray-Schauder degree. This topological tool allows studying equations of the form Lu=Nu, where L is a linear operator with nontrivial kernel and N is a nonlinear one. I will propose an application of the coincidence degree to the study of positive periodic solutions for the second order nonlinear equation u''+a(t)g(u)=0, where g(u) has superlinear growth at zero and at infinity. This latter result is part of a recent joint work with Fabio Zanolin.

This seminar is part of the AJS series of seminars.