The Cauchy problem for parabolic differential-difference equations: integral representations of solutions and their long-time behavior

• 主讲人：Andrey Muravnik (RUDN University)
• 举办方： Sino-Russian Mathematics Center
• 时间： 2024-05-17 11:00 - 2024-05-17 12:00
• 地点： Siyuan Lecture Hall, Zhihua Building (智华楼-四元厅)

 

Abstract: For parabolic differential-difference equations, the Cauchy problem with bounded initial-value functions is investigated. Its unique solvability is established, integral representations of its solutions are constructed, and (asymptotic) closeness (in particular, stabilization) theorems are proved for those solutions.

 

Bio: Andrey Muravnik is the director of the Nikol'skii Mathematical Institute, RUDN University, Moscow, Russia.