[Turkmath:6362] The Announce of Weekly Online Seminar “Analysis and Applied Mathematics”

[Allaberen Ashyralyev]

Dear Colleagues!
You are cordially invited to the  Weekly Online Seminar “Analysis and
Applied Mathematics” on
*Date*: Tuesday, February 6, 2024
*Time:* 12.00-13.00 (Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty)
 *Place:*
Zoom link:
https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
* Speaker: *  Prof. Dr. Mohammad Mursaleen China Medical University,
Taichung, Taiwan
  *Title:*  On Some Applications of Measures of Noncompactness
*Abstract: * In this talk, we discuss the classical measures of
noncompactness and in particular the Hausdorff measure of noncompactness.
We discuss their applications in various problems of analysis such as
differential equations, integral equations and characterization of compact
matrix operators between sequence spaces. The most effective way in the
characterization of compact operators between the Banach spaces is applying
the Hausdorff measure of noncompactness. In this talk, we present some
identities or estimates for the operator norms and the Hausdorff measures
of noncompactness of certain operators given by infinite matrices that map
an arbitrary BK-space into classical sequence spaces. Many linear compact
operators may be represented as matrix operators in sequence spaces or
integral operators in function spaces [2]. Recently the measures of
noncompactness have been applied in solving an infinite system of
differential equations [5], [4] and integral equations in sequence spaces
[1, 3].
References:
[1] R. Arab, M. Mursaleen and S.M.H. Rizvi, Positive solution of a
quadratic integral equation using generalization of Darbo’s fixed point
theorem, Numer. Funct. Anal. Optim., 40(10) (2019), 1150–1168.
[2] J. Banas and M. Mursaleen, Sequence Spaces and Measures of
Noncompactness with Applications to Differential and Integral Equations,
Springer, 2014.
[3] B. Hazarika, R. Arab and M. Mursaleen, Applications of measure of
noncompactness and operator type contraction for existence of solution of
functional integral equations, Complex Anal. Oper. Theory, DOI:
10.1007/s11785-019-00933-y. - 2 -
 [4] M. Mursaleen, E. Pourhadi and R. Saadati, Solvability of infinite
systems of second order differential equations with boundary conditions in
ℓp, Quaest. Math., DOI: 10.2989/16073606.2019.1617800.
[5] M. Mursaleen and S.M.H. Rizvi, Solvability of infinite system of second
order differential equations in c0 and ℓ1 by Meir-Keeler condensing
operator, Proc. Amer. Math. Soc., 144(10) (2016) 4279–4289.
*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,**34349**, Istanbul,
Turkiye*
*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 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://ejaam.org/editorial.html

*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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