<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 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"><b style="font-size:small">Date</b><span style="font-size:small">: Tuesday, April 2, 2024 </span></div></div><div dir="ltr"><b>Time:</b> 14.00-16.00 (Istanbul) = 12.00-14.00 (Ghent) = 16.00-17.00 (Almaty)<br>  Place: 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   </div><div dir="ltr"><b>Speaker: </b>  Prof. Dr. Yaşar Sözen </div><div dir="ltr"><i>Hacettepe University, Ankara, Türkiye</i> </div><div dir="ltr"><b>Title:</b>A note on positivity of differential operator with Samarskii-Ionkin type condition</div><div dir="ltr"><b>Abstract:</b> We consider a second order differential operator AAxx with Samarkii-Ionkin type<br></div>conditions. We establish the positivity of the differential operator in C[0,1]. Moreover, we investigate the structure of fractional spaces Eα(C[0,1], A). Furthermore, we prove for each 0 < α < 1/2 that the topological equivalence of the normed spaces Eα(C[0,1], A) and C^2α[0,1] and hence we establish the positivity of A in °C^2α[0,1]. We also apply the theoretical results to obtain noval coercive inequalities for the solution of a nonlocal boundary value problem for parabolic equations. This is a joint work with Prof. Dr. Allaberen Ashyralyev, Bahçeşehir University.<div dir="ltr"> <b>Abstracts and forthcoming talks can be found on our webpage</b></div><div dir="ltr"><div><div><div><div><div><a href="https://sites.google.com/view/aam-seminars" rel="noreferrer" 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" targe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