Seminars: U. R. Olimov, Dynamical systems of an infinite-dimensional non-linear operator

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) November 7, 2024 12:00, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Dynamical systems of an infinite-dimensional non-linear operator U. R. Olimov V. I. Romanovskiy Institute of Mathematics of the Academy of Sciences of Uzbekistan, Tashkent
Abstract: This talk is devoted to fixed points of an infinite-dimensional operator $F$ mapping $l_{+}^{1}$ to itself. We show that this operator may have up to seven fixed points. We illustrate that analyzing our operator can be simplified to a two-dimensional approach. We provide a detailed description of all fixed points for the two-dimensional operator and determine the set of limit points for its trajectories. Finally, we apply these results to determine the set of limit points for trajectories generated by the infinite-dimensional operator. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09