## Announcements & Documents

Introduction to Mathematical Engineering 10 th week seminar notes

Introduction to Mathematical Engineering 9th week seminar notes

**Remark: We studied CNF and DNF forms in the 4th and 5th weeks. That's why I uploaded the notes for these weeks as week 4th week notes. In week 5, I did not add any presentations.**

Remark: We studied CNF and DNF forms in the 4th and 5th weeks. That's why I uploaded the notes for these weeks as week 4th week notes. In week 5, I did not add any presentations.

Introduction to Mathematical Engineering 3th week lecture notes

## Education Information

2002 - 2008

2002 - 2008###
**Doctorate**

#### Yildiz Technical University, Faculty Of Chemıcal And Metallurgıcal Engıneerıng, Department Of Mathematics Engineering, Turkey

2000 - 2002

2000 - 2002###
**Postgraduate**

#### Yildiz Technical University, Faculty Of Chemıcal And Metallurgıcal Engıneerıng, Department Of Mathematics Engineering, Turkey

1995 - 1998

1995 - 1998###
**Undergraduate**

#### Yildiz Technical University, Faculty Of Chemıcal And Metallurgıcal Engıneerıng, Department Of Mathematics Engineering, Turkey

## Dissertations

2008

2008###
**Doctorate**

#### SINIR KOŞULUNDA SPEKTRAL PARAMETRE BULUNAN SINIR DEĞER PROBLEMLERİ ÜZERİNE

##### Yıldız Teknik Üniversitesi, Kimya Metalurji Fakültesi, Matematik Mühendisliği

2002

2002###
**Postgraduate**

#### TÜM EKSENDE OPERATÖR KATSAYILI STURM-LIOUVILLE DENKLEMININ GREEN FONKSIYONUNUN BULUNMASI VE ÖZDEĞERLERİ SAYISININ ASİMPTOTIİK İFADESİ ÜZERİNE

##### Yıldız Teknik Üniversitesi, FACULTY OF CHEMICAL AND METALLURGICAL ENGINEERING, Matematik Mühendisliği

## Foreign Languages

A1 Beginner

A1 Beginner###
** Russian**

C1 Advanced

C1 Advanced###
** English**

## Certificates, Courses and Trainings

2008

2008**MATLAB KURSU**

#### Education Management and Planning

##### FİGES

2007

2007**BAZOVIY UROVEN (Ruşça dil eğitimi)**

#### Foreign Language

##### Milli Eğitim Bakanlığı

## Research Areas

**Soft Computing**

**Mathematics**

**Sequences, Series, Summability**

**Functional Analysis**

**Natural Sciences**

## Academic Titles / Tasks

2000 - Continues

2000 - Continues###
**Associate Professor**

#### Yildiz Technical University, Faculty Of Chemıcal And Metallurgıcal Engıneerıng, Department Of Mathematics Engineering

## Managerial Experience

2015 - Continues

2015 - Continues###
**Erasmus Program Institutional Coordinator**

#### Yildiz Technical University, Faculty Of Chemıcal And Metallurgıcal Engıneerıng, Department Of Mathematics Engineering

2015 - Continues

2015 - Continues###
**Rectorate Commissioner**

#### Yıldız Teknik Üniversitesi, Burs Komisyonu

## Non Academic Experience

2000 - Continues

2000 - Continues###
**Araştırma Görevlisi Dr.**

#### Yıldız Teknik Üniversitesi

2010 - 2010

2010 - 2010###
**Araştırmacı**

#### Indiana University

## Courses

## Advising Theses

2022

2022###
**Postgraduate**

####
**Proje yönetimi yaklaşımının matematiksel yöntemlerle seçilmesi ve uygulanması **

#### Aydın Akgün F. (Advisor)

##### H.ÖZDEMİR(Student)

## Published journal articles indexed by SCI, SSCI, and AHCI

2023

2023###
**A regularized trace of an even-order differential operator with bounded operator coefficient given in a finite interval**

#### AYDIN AKGÜN F., Bayramoglu M.

##### Filomat , vol.37, no.11, pp.3391-3401, 2023 (SCI-Expanded)

2021

2021###
**A new iteration method for the solution of third-order BVP via Green's function**

#### AYDIN AKGÜN F., Rasulov Z.

##### Demonstratio Mathematica , vol.54, no.1, pp.425-435, 2021 (SCI-Expanded)

2019

2019###
**THE SECOND REGULARIZED TRACE FORMULA FOR THE STURM-LIOUVILLE OPERATOR**

#### Akgun F., Bayramoglu M., Bayramov A.

##### MISKOLC MATHEMATICAL NOTES , vol.20, no.1, pp.17-32, 2019 (SCI-Expanded)

2016

2016###
**Characterizations of H-J Matrices**

#### Akgun F., Rhoades B. E.

##### FILOMAT , vol.30, no.3, pp.675-679, 2016 (SCI-Expanded)

2015

2015###
**Totally Equivalent HJ Matrices**

#### Aydın Akgün F., Rhoades B.

##### Applied Mathematics & Information Sciences , vol.9, no.4, pp.1671-1676, 2015 (SCI-Expanded)

2014

2014###
**Monotonicity-preserving doubly infinite matrices**

#### Akgun F. A., Rhoades B. E.

##### APPLIED MATHEMATICS AND COMPUTATION , vol.235, pp.105-109, 2014 (SCI-Expanded)

2013

2013###
**Absolute Tauberian constants for H-J Hausdorff matrices**

#### AYDIN AKGÜN F., Rhoades B.

##### Applied Mathematics and Information Sciences , vol.7, no.4, pp.1405-1413, 2013 (SCI-Expanded)

2013

2013###
**Properties of some q-Hausdorff matrices**

#### Akgun F., Rhoades B. E.

##### APPLIED MATHEMATICS AND COMPUTATION , vol.219, no.14, pp.7392-7397, 2013 (SCI-Expanded)

2013

2013###
**Discontinuous Boundary Value Problems with Retarded Argument and Eigenparameter-Dependent Boundary Conditions**

#### Akgun F., Bayramov A., Bayramoglu M.

##### MEDITERRANEAN JOURNAL OF MATHEMATICS , vol.10, no.1, pp.277-288, 2013 (SCI-Expanded)

2012

2012###
**The second regularized trace of differential operator equation with the semi-periodic boundary conditions**

#### Bayramov A., Caliskan S., Akgun F.

##### MATHEMATICAL METHODS IN THE APPLIED SCIENCES , vol.35, no.18, pp.2185-2197, 2012 (SCI-Expanded)

2012

2012###
**Upper bounds for E-J matrices**

#### Akgun F., Rhoades B. E.

##### APPLIED MATHEMATICS & INFORMATION SCIENCES , vol.6, no.3, pp.1125-1127, 2012 (SCI-Expanded)

2012

2012###
**The equivalence of generalized Holder and Cesaro matrices**

#### Akgun F., Rhoades B. E.

##### APPLIED MATHEMATICS AND COMPUTATION , vol.218, no.12, pp.6677-6683, 2012 (SCI-Expanded)

## Articles Published in Other Journals

2025

2025###
**NUMERICAL METHOD FOR SOLUTION OF FOURTH-ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY GREEN’S FUNCTION**

#### Aydın Akgün F., Rasulov Z.

##### KRAGUJEVAC JOURNAL OF MATHEMATICS , vol.49, no.3, pp.485-494, 2025 (Scopus)

2023

2023###
**A new IoT system for non-contact body temperature sensing and warning**

#### AYDIN AKGÜN F., Soytürk G., Dede M.

##### Sigma Journal of Engineering and Natural Sciences , vol.41, no.5, pp.892-899, 2023 (ESCI)

2021

2021###
**Generalized iteration method for the solution of fourth order BVP via Green's function**

#### AYDIN AKGÜN F., Rasulov Z.

##### European Journal of Pure and Applied Mathematics , vol.14, no.3, pp.969-979, 2021 (Scopus)

2021

2021###
**Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems' Solution**

#### AYDIN AKGÜN F.

##### International Journal of Differential Equations , vol.2021, 2021 (ESCI)

2020

2020###
**E-J Summability of Orthogonal Series**

#### Akgun F. A., Rhoades B. E.

##### EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS , vol.13, no.3, pp.390-402, 2020 (ESCI)

2020

2020###
**On Fixed Point Results for Multivalued Operators in b2 Metric Spaces**

#### Aydın Akgün F.

##### Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , vol.13, no.20, pp.472-488, 2020 (Peer-Reviewed Journal)

2018

2018###
**STRUCTURAL PROPERTIES OF H-J MATRICES**

#### Aydın Akgün F., Rhoades B.

##### JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS , vol.9, no.3, pp.28-33, 2018 (ESCI)

2017

2017###
**Monotonicity Preserving Matrices**

#### Aydın Akgün F., Rhoades B. R., Mahmood Mohammed S.

##### SAKARYA UNİVERSİTY JOURNAL OF SCİENCE , vol.21, no.3, pp.522-526, 2017 (Peer-Reviewed Journal)

2015

2015###
**ABSOLUTE TAUBERIAN CONSTANTS FOR LOWER TRIANGULAR MATRICES**

#### Aydın Akgün F., Rhoades B.

##### SARAJEVO JOURNAL OF MATHEMATICS , vol.9, no.4, pp.1671-1675, 2015 (Peer-Reviewed Journal)

2011

2011###
**Boundary Value Problem with Matrix Coefficient and Eigenparameter in the Boundary Condition**

#### AYDIN AKGÜN F., BAYRAMOGLU M.

##### International Journal of Functional Analysis, Operator Theory and Applications , vol.3, no.1, pp.77-91, 2011 (Peer-Reviewed Journal)

2010

2010###
**Green Function of Discontinous Boundary Value Problem with Eigenparameter in Boundary Conditions**

#### Aydın Akgün F.

##### Sigma Mühendislik ve Fen Bilimleri Dergisi , vol.1, no.28, pp.15-25, 2010 (Peer-Reviewed Journal)

2010

2010###
**Factorable Generalized Hausdorff matrices**

#### AYDIN AKGÜN F., RHOADES B.

##### Journal of Advanced Math. Studies , vol.3, no.1, pp.1-8, 2010 (Peer-Reviewed Journal)

2008

2008###
**On a Boundary Value Problem with Matrix Coefficient which has Spectral Parameter in Boundary Condition**

#### AYDIN AKGÜN F.

##### Sigma Mühendislik ve Fen Bilimleri Dergisi , vol.26, no.3, pp.175-191, 2008 (Peer-Reviewed Journal)

2006

2006###
**On the Green Function of a Second Ordered Differential Equation with Operator Coefficient**

#### AYDIN AKGÜN F.

##### ANALELE,FASCICOLA MATEMATİCA , vol.8, no.8, pp.5-22, 2006 (Peer-Reviewed Journal)

2004

2004###
**Calculated of Reqularized Trace of an Even Order Differential Equation in Final Interval**

#### Aydın Akgün F.

##### Sigma Journal of Engineering and Natural Sciences , vol.4, no.22, pp.279-293, 2004 (ESCI)

2003

2003###
**Asymptotic Expression of Eigenvalues Number of Second Order Sturm-Liouville Operator Equation with Operator Coefficient Given in Real Axis**

#### AYDIN AKGÜN F.

##### YTÜD , vol.2003, no.2, pp.111-124, 2003 (Peer-Reviewed Journal)

## Refereed Congress / Symposium Publications in Proceedings

2017

2017###
**Monotonicity Preserving Matrices**

#### Aydın Akgün F.

##### 1st international conference on Advances in Science and Arts, İstanbul, Turkey, 29 - 31 March 2017, pp.1

2016

2016###
**Matrices Which Preserve Decreasing Sequences**

#### AYDIN AKGÜN F.

##### ICRAPAM 2016, Muğla, Turkey, 19 May 2016, pp.1

2016

2016###
**Some Properties Of Generalized Hausdorff Matrices**

#### AYDIN AKGÜN F.

##### ICRAPAM 2016, Muğla, Turkey, 19 May 2016, pp.1

2015

2015###
**Absolute Tauberian Constants**

#### AYDIN AKGÜN F.

##### IECMSA - 2015, Atina, Greece, 31 August 2015, pp.1

2015

2015###
**Matrices that Commute with Generalized Hausdorff**

#### AYDIN AKGÜN F.

##### ICRAPAM, İstanbul, Turkey, 03 July 2015, pp.5

2014

2014###
**Generalization of Hausdorff Matrices**

#### AYDIN AKGÜN F.

##### Recent Advances in Pure and Applied Mathematics (ICRAPAM 2014), 01 November 2014

2012

2012###
**Absolute Tauberian constants for H-J Hausdorff matrices**

#### Akgun F., Rhoades B. E.

##### International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012, Kos, Greece, 19 - 25 September 2012, vol.1479, pp.932-935

2007

2007###
**On a Boundary Value Problem with Spectral Parameter in Boundary Conditions**

#### AYDIN AKGÜN F.

##### II. Turkish World Mathematic Conference, 01 July 2007

2005

2005###
**On the Green Function of a second ordered Differential Equations with Operator Coefficient**

#### Aydın Akgün F.

##### Several aspects of biology, chemistry, computer science, mathematics and physics an International Conference, Oradea, Romania, 11 - 13 November 2005, pp.1

2004

2004###
**Resolvent Of Schrödinger Operator Equation Given in n-Dimensional Space**

#### AYDIN AKGÜN F.

##### International Workshop On Analysis and Its Applications, 01 September 2004

2004

2004###
**On Green Function of Fourth Ordered Differential Equation with Operator Coefficient **

#### Aydın Akgün F.

##### International Conference on Non-Linear Operators ,Differential Equations and Applications,, Cluj-Napoca, Romania, 24 - 27 August 2004, pp.45

2004

2004###
**Spectral Properties of Sturm-Liouville Problem which has Singularity with Eigenvalue in Boundary Condition**

#### Aydın Akgün F.

##### International Conference on Non-Linear Operators, Differential Equations and Applications, Cluj-Napoca, Romania, 24 - 27 August 2004, pp.125

## Supported Projects

2021 - 2022

2021 - 2022###
**Yüksek mertebeden Sınır Değer Problemleri için Green fonksiyonu ile yeni iterasyon yöntemi**

#### Project Supported by Higher Education Institutions

##### AYDIN AKGÜN F. (Executive), YEŞİL Ü., RASULOV Z.

2021 - 2022

2021 - 2022###
**Yüksek mertebeden Sınır Değer Problemleri için Green fonksiyonu ile yeni ve daha hızlı iterasyon yönteminin elde edilmesi**

#### TUBITAK Project

##### (Project Abstract)

##### Aydın Akgün F., Rasulov Z.(Executive)

2021 - 2022

2021 - 2022###
**Otonom Araç Adaptive Cruise Control Tasarımı**

#### TUBITAK Project

##### (Project Abstract)

##### Aydın Akgün F., İrdem S.(Executive)

2021 - 2022

2021 - 2022###
**Görme Engelliler İçin Kitap Okuma Sistemi (Görmeden de Okuyabilirsin)**

#### TUBITAK Project

##### (Project Abstract)

##### Aydın Akgün F., Farajı I.(Executive)

2020 - 2021

2020 - 2021###
**VÜCUT SICAKLIKLARININ TEMASSIZ TESPİTİ VE TAKİP SİSTEMİ**

#### Technopark

##### Aydın Akgün F. (Executive)

2017 - 2018

2017 - 2018###
**VÜCUT SICAKLIKLARININ TEMASSIZ TESPİT VE UYARI SİSTEMİ**

#### TUBITAK Project

##### (Project Abstract)

##### Aydın Akgün F., Soytürk G.(Executive), Dede M.

2014 - 2016

2014 - 2016###
**Hausdorff Matrislerine Ait Bazı Teoremlerin Genelleştirilmesi**

#### Project Supported by Higher Education Institutions

##### AYDIN AKGÜN F. (Executive)

## Patent

2020

2020###
**Vücut Sıcaklık Takip Sistemi**

#### Patent

#### Registered / Approved, The Invention Registration Number: 2019 07825 , Standard Registration

## Activities in Scientific Journals

2015 - 2016

2015 - 2016#### Special Issue Editor

## Scientific Refereeing

September 2020

September 2020###
**BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY**

#### SCI Journal

December 2019

December 2019###
**Fundamental Journal of Mathematics and Applications**

#### Other Journals

October 2019

October 2019###
**MATHEMATICA SLOVACA**

#### Journal Indexed in SCI-E

July 2019

July 2019###
**LINEAR & MULTILINEAR ALGEBRA**

#### Journal Indexed in SCI-E

April 2019

April 2019###
**TURKISH JOURNAL OF MATHEMATICS**

#### SCI Journal

April 2019

April 2019###
**JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS**

#### SCI Journal

December 2017

December 2017###
**Sakarya University Journal of Science**

#### Other Indexed Journal

September 2016

September 2016###
**Proceedings of the Institute of Mathematics and Mechanics**

#### SCI Journal

February 2016

February 2016###
**AMS Mathematical Reviews/MathSciNet**

#### SCI Journal

January 2016

January 2016###
**Proceedings of the Institute of Mathematics and Mechanics**

#### SCI Journal

November 2014

November 2014###
**journal of Inequalities and Apllications-guest editor**

#### SCI Journal

## Scientific Consultations

2016 - 2016

2016 - 2016###
**Project Consultancy**

#### TUBITAK

## Tasks In Event Organizations

Mayıs 2016

Mayıs 2016### International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM2016)

#### Scientific Congress

##### Aydın Akgün F.

##### Muğla, Turkey

Haziran 2015

Haziran 2015### Düzenleme Kurulu Üyeliği, International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM2015)

#### Scientific Congress

##### Aydın Akgün F.

##### İstanbul, Turkey

Temmuz 2012

Temmuz 2012### International Conference on Applied Analysis and Algebra

#### Scientific Congress

##### Aydın Akgün F., Aydoğdu İ.

##### İstanbul, Turkey

Temmuz 2011

Temmuz 2011### International Conference on Applied Analysis and Algebra

#### Scientific Congress

##### Aydın Akgün F., Köroğlu M. E., AYDOĞDU İ.

##### İstanbul, Turkey

## Awards

September 2020

September 2020###
**ALTIN MADALYA**

#### Isıf 2020 İstanbul Uluslararası Buluş Fuar

March 2015

March 2015###
**En çok yayın yapan yardımcı doçent ödülü(2.grup)**

#### ytü

## Congress and Symposium Activities

01 November 2007 - 01 November 2007

01 November 2007 - 01 November 2007###
**EU programme "operator theory methods for differential Equations"**

#### Invited Speaker

##### Warszawa-Poland

## Invited Talks

November 2007

November 2007###
**Operator Theory Methods For Differential Equations**

#### Seminar

##### Institute of Mathematics, Polish Academy of Science-Turkey

## Citations

**Total Citations (WOS):** 23

**h-index (WOS):** 2

## Jury Memberships

December-2021

December 2021###
**PhD Thesis Monitoring Committee Member**

#### PhD Thesis Monitoring Committee Member - Sakarya Üniversitesi

October-2021

October 2021###
**Doctoral Examination**

#### Doctoral Examination - Sakarya Üniversitesi

May-2021

May 2021###
**PhD Thesis Monitoring Committee Member**

#### PhD Thesis Monitoring Committee Member - Sakarya Üniversitesi

September-2017

September 2017###
**Doctorate**

#### DOKTORA YETERLİLİK - SAKARYA ÜNİVERSİTESİ

February-2017

February 2017###
**Doctorate**

#### Tez savunma Jürisi - SAKARYA ÜNİVERSİTESİ

September-2016

September 2016###
**Doctorate**

#### Doktora yeterlilik Jürisi - SAKARYA ÜNİVERSİTESİ

May-2016

May 2016###
**Award**

#### tubitak PANEL DIŞ DANIŞMANLIK - TUBITAK

February-2016

February 2016