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Session S12 - Delay and functional differential equations and applications

Wednesday, July 21, 17:45 ~ 18:20 UTC-3

Periodic positive solutions of superlinear delay equations via topological degree

Pierluigi Benevieri

Universidade de São Paulo, Brasil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In recent years, some papers by G. Feltrin and F. Zanolin have been devoted to the study of existence and multiplicity of periodic solutions to nonlinear differential equations of the form \[ u''=f(t,u,u'), \] with periodic or Newmann boundary conditions and suitable assumptions on $f$. In a recent joint work with P. Amster and J. Haddad, that I present in the talk, existence and multiplicity of periodic solutions is proven for a class of delay equations of the type \[ u''(t)=f(t,u(t),u(t-\tau),u'(t)). \] The approach is, as in the work of Feltrin and Zanolin, topological and based of the coincidence degree introduced by J. Mawhin.

Joint work with Pablo Amster (Universidad de Buenos Aires, Argentina) and Julián Haddad (Universidade Federal do Minas Gerais, Brasil).

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