[Turkmath:216] Hacettepe Matematik Semineri, 9 şubat Pazartesi, Ahmet Yantır

[Mesut Şahin]

Değerli liste üyeleri,

detayları aşağıda ve ekteki afişte verilen seminere igilenen herkesi
bekliyoruz.

En iyi dileklerimle,

mesut

  Tarih (Date) : 09.02.2015, Pazartesi (Monday)
Saat (Time): 14:00
Yer (Place): Yaşar ATAMAN Seminer Salonu
Konuşmacı (Speaker): Yrd. Doç. Dr. Ahmet Yantır (Yaşar Üniversitesi)

Başlık (Title) : On the approximation property of dynamic equations on
time scales

Özet (Abstract) : The main goal of the talk is to propose a new approach
to the problem of approximation of solutions for differential problems. A
standard approach is based on discrete approximations. We replace it by a
sequence of dynamic equations. In this talk, we investigate the convergence
of closed sets being domains of considered problems, i.e. time scales. Then
we apply our results for the study of an approximation property of dynamic
equations. Our results allow us to characterize a set of solutions for
differential problems as a limit of a sequence of dynamic ones.

We compare some topologies studied in the literature and point out a kind
of convergence, namely Kuratowski convergence, of time scales which is the
most appropriate convergence for the study of continuous dependence of
solutions for dynamic equations on time scales. It forms an approximation
for the differential equations by dynamic equations and allows us to extend
the difference approach in numerical algorithms. Finally, we study some
Cauchy problems without uniqueness of solutions, which are approximated by
simple dynamic problems.

Joint work with Mieczys︎law Cichon.

NOT: Konuşma sonunda çay ve pasta ikramı olacaktır. (P.S. Tea and cookies
will be served after the talk.)


  Mesut Sahin
  Associate Professor
  Department of Mathematics
  Hacettepe University
  TR 06800 Beytepe
  ANKARA - TURKEY
 http://yunus.hacettepe.edu.tr/~mesut.sahin
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