The project is supported by Marie Curie International Incoming Fellowships. The fellowship is awarded by the European Commission within the People programme (FP7).

Project title: Covering mappings and their applications in functional equations, difference equations and optimization

Abstract: There will be considered covering mappings and their applications. The properties of covering mappings in generalized metric spaces will be studied. Moreover, sufficient solvability conditions for inclusions defined by conditionally covering multi-valued mappings in metric spaces will be obtained. This results will be applied to the following problems. For difference equations there will be studied such issues as solvability, equilibrium existence and stability. In addition, there will be studied several types of functional equations. This part of research will be based on the result obtained for covering mappings in generalized metric spaces. Finally, there will be studied questions of global solvability for control systems and necessary optimality conditions for control systems defined by Volterra equations.

Timelines: from June 10th, 2012 to June 10th 2014

Place: the project is implemented in  Engineering Faculty (FEUP) of the University of Porto (UP), Porto, Portugal.

Address: Rua Dr. Roberto Frias, s/n 4200-465 Porto, Portugal

Telephone: +351 22 508 14 00

Fax: +351 22 508 14 40

E-mail: [email protected]

People:

Person in charge: Professor Fernando Lobo Pereira

Researcher: Sergey Zhukovskiy