Seminar: A promenade in the world of periodicity

Time:

Venue/Location: Phòng C101, VIASM

Báo cáo viên: Gaston M. N’Guerekata, Morgan State University, USA

Tóm tắt: In this talk, we will discuss various concepts of periodicity and their generalizations up to almost automorphy (in the sense of Bochner) from the point of view of differential equations. Using the classical method of sub- and super-solutions, combined with the Bohr compactification of the Euclidean space, we will show that if an almost periodic second order semilinear elliptic equation possesses an ordered pair of almost periodic sub- and super-solutions, then very many equations in the envelope have either almost automorphic solutions, or Besicovitch almost periodic solutions. In addition, we will provide an application to almost periodically forced pendulum equations.