Center for Mathematical Sciences Lectures

 

 

invites you to a

Special Lecture Series

to be presented by

 

 

 

 

 

 

 

 

Professor Boris Mordukhovich

Wayne State University

"Variational Analysis and Its Applications"

 

Lecture I: Monday, 9 June, 2014 at 15:30

Lecture II: Tuesday, 10 June, 2014 at 15:30

Lecture III: Thursday 12 June, 2014 at 15:30

Auditorium 231, Amado Mathematics Building, Technion

 

 

Variational analysis has been recognized as an active and rapidly growing area of mathematics motivated mainly by the study of optimization-related, control, and equilibrium problems, while also applying perturbation ideas and variational principles to a broad class of problems and situations that may be not of a variational nature. One of the most characteristic features of modern variational analysis is the intrinsic presence of non-smoothness, which naturally enters not only through the initial data of the problems under consideration but largely via variational principles and perturbation techniques applied to a variety of problems with even smooth data. Nonlinear dynamics and variational systems in applied sciences also give rise to non-smooth structures and motivate the development of new forms of analysis that rely on generalized differentiation.

 

These lectures provide an introduction to variational analysis and also present recent results concerning mainly second-order theory with applications to selected problems of nonlinear analysis, optimization, stability, and control.

 

 

 

 

 

Prof. Mordukhovich's website: http://www.borismordukhovich.com/