Pietro Zecca: Guiding Function Methods for Periodic Solutions of Differential Inclusions

Data: segunda-feira, 13 de maio de 2013, às 14h

Sala: Auditório Jacy Monteiro (Bloco B) - excepcionalmente

Palestrante: Pietro Zecca, Università degli Studi di Firenze

Título: Guiding Function Methods for Periodic Solutions of Differential Inclusions

Resumo: The method of guiding functions (MGF) was originally developed by M.A. Krasnoselskii and A.I. Perov as on of the tools for solving problems of periodic oscillations in nonlinear systems. Being geometrically clear and simple to use in applications, it became one of the most powerful and effective instruments for dealing with periodic and generalized problems. In this talk we present a brief hystory of the method and arrive to approach periodic and generalized periodic problems:

$\left\{\begin{array}{ll} u^{'}(t) \in F(t,u(t)), \text{ for a.e. }t \in [0,T],\\u(T)=u(0)\\\text{or}\\u(T) \in M(u(0)).\end{array}\right.$