<div dir="ltr"><div dir="ltr"><div style="font-family:inherit;background-color:transparent;background-image:inherit;background-position:inherit;background-size:inherit;background-repeat:inherit;background-origin:inherit;background-clip:inherit;border-right:inherit;font-size:1.375rem;line-height:28px;margin:0px;padding:0px"><span style="background-color:transparent;font-size:small">Dear Colleagues!</span></div><div style="font-family:inherit;background-color:transparent;background-image:inherit;background-position:inherit;background-size:inherit;background-repeat:inherit;background-origin:inherit;background-clip:inherit;border-right:inherit;font-size:1.375rem;line-height:28px;margin:0px;padding:0px"><span style="background-color:transparent;font-size:small;font-family:inherit">You are cordially invited to the Weekly Online Seminar “Analysis and Applied Mathematics” on </span></div></div><div dir="ltr"><b>Date</b>: Tuesday,
February 6, 2024 <br><b>Time:</b> 12.00-13.00 (Istanbul) = 10.00-11.00 (Ghent) = 15.00-16.00 (Almaty)<br> <b>Place:</b><br>Zoom link: <a href="https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09" target="_blank">https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09</a>, Conference ID: 667 827 0445, Access code: 1 <br><b> Speaker: </b>
Prof. Dr. Mohammad Mursaleen
China Medical University, Taichung, Taiwan
<br> <b>Title:</b> On Some Applications of Measures of Noncompactness
</div><div dir="ltr"><b>Abstract: </b>
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]. </div><div dir="ltr">References: </div><div dir="ltr">[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. </div><div dir="ltr">[2] J. Banas and M. Mursaleen, Sequence Spaces and Measures of Noncompactness with
Applications to Differential and Integral Equations, Springer, 2014. </div><div dir="ltr">[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 -</div><div dir="ltr"> [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. </div><div dir="ltr">[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.
<br><div><div><div><div><div><b>Abstracts and forthcoming talks can be found on our webpage</b><br><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a><br>With my best wishes</div></div></div></div></div></div><div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div style="font-size:12.8px"><b style="font-size:12.8px">Prof. Dr. Allaberen Ashyralyev </b></div><div><span style="font-size:small"><b>Department of Mathematics, Bahcesehir University,</b></span><b>34349</b><span style="font-size:small"><b>, Istanbul, Turkiye</b></span><b style="font-size:12.8px"> </b></div><div><div style="font-size:12.8px"><span style="font-size:12.8px"><b>Peoples' Friendship University of Russia (RUDN University),</b></span><b style="color:rgb(51,51,51);font-family:arial,helvetica,sans-serif;font-size:13px"> Ul Miklukho Maklaya 6, Moscow 117198, Russian Federation </b></div><div style="font-size:12.8px"><b style="font-size:12.8px">Institute of Mathematics and Mathematical Modelling, 050010, Almaty, Kazakhstan</b></div><div style="font-size:12.8px"><b style="font-size:12.8px">e-mail: <a href="mailto:allaberen.ashyralyev@neu.edu.tr" style="color:rgb(17,85,204)" target="_blank">allaberen.ashyralyev@bau.edu.tr</a> and </b><b style="font-size:12.8px"><a href="mailto:aallaberen@gmail.com" style="color:rgb(17,85,204)" target="_blank">aallaberen@gmail.com</a> </b></div><div style="font-size:12.8px"><b style="font-size:12.8px"> </b><a href="http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev" style="color:rgb(0,86,179);margin:0px;padding:0px;border:0px;font-stretch:inherit;font-size:14px;line-height:inherit;font-family:Roboto,sans-serif;vertical-align:baseline" target="_blank">http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev</a></div><div><p class="MsoNormal"><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a></p><p class="MsoNormal"><a href="https://ejaam.org/editorial.html" target="_blank">https://ejaam.org/editorial.html</a><br></p><p class="MsoNormal"><b style="font-size:12.8px;color:rgb(17,85,204)"><u><a href="http://icaam-online.org" target="_blank">icaam-online.org</a></u></b></p></div></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1<br></a></b></span><br></font></div></div></div></div></div></div></div></div></div></div></div></div></div></div>