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

  • Speaker:Andrey Muravnik (RUDN University)
  • Organizer:Sino-Russian Mathematics Center
  • Start Time:2024-05-17 11:00
  • End Time:2024-05-17 12:00
  • Venue: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.

 

 

 

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