[Turkmath:5929] (no subject)

[Allaberen Ashyralyev]

Dear Colleagues!

You are cordially invited to the  Weekly Online  Seminar “Analysis and
Applied Mathematics” on

Date: Tuesday, January 10, 2023

  Time: 14.00-15.00 (Istanbul) = 12.00-13.00 (Ghent) = 17.00-18.00
(Almaty)

Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1

Speaker:  Prof. Dr. Lev Birbrair
Federal University of Ceará (Brazil) and Jagiellonian University (Poland)

  Title: Resonance Sequences and Focal Decompositions (where Differential
Equations meet Number Theory)
Abstract: Focal decomposition of Peixoto associated to an ordinary
differential equation of the second order is a partition of the set of all
two-points boundary value problems according to the number of their
solutions. Two equations are called focally equivalent if there exists a
homomorphism of the set of two-points problems to itself such that the
image of the focal decomposition associated to the first equation is a
focal decomposition associated to the second one. Let 𝛼 = {𝛼1, … , 𝛼𝑘}
be a finite multiset of non-negative real numbers. Consider the sequence of
all positive integer multiples of all 𝛼𝛼𝑖𝑖’s, and note the multiplicity
of each term in this sequence. This sequence of multiplicities is the
resonance sequence generated by {𝛼1, … , 𝛼𝑘}. Two multisets are
combinatorially equivalent if they generate the same resonance sequence. We
show that the problem of combinatorial equivalence of multisets is closely
related to the problem of classification of systems of second order
ordinary differential equations up to focal equivalence. The lecture is
dedicated to the memory of Prof. Dr. Marina Sobolevsky, the principal
collaborator of some important works in this direction.
Abstracts and forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars
With my best wishes
*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
*  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at eng.bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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