DOÇ.DR. YELDA AYGAR KÜÇÜKEVCİLİOĞLU    
Adı : YELDA
Soyadı : AYGAR KÜÇÜKEVCİLİOĞLU
E-posta : yaygar@ankara.edu.tr
Tel : 0312 212 67 20-1227
Ünvan : DOÇ.DR.
Birim : FEN FAKÜLTESİ
Bölüm : MATEMATİK BÖLÜMÜ
Kişisel Akademik Bilgiler

    ÖZGEÇMİŞ                        YELDA AYGAR KÜÇÜKEVCİLİOĞLU

 

   KİŞİSEL BİLGİLER

 email: yaygar@ankara.edu.tr

  • Doğum Tarihi: 28 Ocak 1983 
  •  Uyruğu : T.C.

 

        EĞİTİM

  • Ekim 2013-Ekim 2014: Missouri University of  S&T, Post-Doktora Eğitimi
  • 2008-2013 : Ankara Üniversitesi Matematik Bölümü, Doktora Eğitimi
  • 2006-2008 : Ankara Üniversitesi Matematik Bölümü,Yüksek Lisans Eğitimi
  • 2001-2006 : Ankara Üniversitesi Matematik Bölümü, Lisans Eğitimi

     

    
    İŞ DENEYİMİ

  •   Mart 2007- Kasım 2015: Araştırma Görevlisi  
  •                                           Ankara Üniversitesi Matematik  Bölümü,                                                                    
  •  Kasım 2015- ...                : Yrd. Doç.  
  •                                             Ankara Üniversitesi Matematik Bölümü,

     

    ARAŞTIRMA ALANLARI

  •   Fonksiyonel Analiz, Spektral Analiz, Fark denklemleri ve q-fark denklemleri ile bu denklemlere ilişkin operatörlerin Spektral Analizi

     YAYINLAR

1. Bairamov E., Aygar Y., Olgun M.,  Jost solution and the spectrum of the discrete Dirac systems, Boundary Value Problems, Volume 2010, Article ID 306571, 11 pages, 2010.  (SCI-Expanded)

2. Bairamov E., Aygar Y., Koprubasi T., Spectrum of the eigenparameter dependent discrete Sturm--Liouville equations, Journal of Computational and Applied Mathematics, 235: 4519-4523, 2011. (SCI)

3. Aygar Y., Bairamov E., Properties of the two-dimensional exponential integral functions, Journal of Mathematical Chemistry, 49 :1014-1025, 2011. (SCI)

4. Olgun M., Koprubasi T., Aygar Y.,  Principal functions of non-selfadjoint difference operator with spectral parameter in boundary conditions, Abstract and Applied Analysis, Volume 2011, Article ID 608329, 10 pages, 2011. (SCI-Expanded)

5. Aygar Y., Bairamov E.,  Jost Solution and the Spectral Properties of the Matrix-Valued difference operators, Applied Mathematics and Computation, 218: 9676-9681, 2012. (SCI-Expanded)(Doktora tezinden üretilmiştir)

6. Aygar Y., Olgun M., Koprubasi T.,  Principal functions of non-selfadjoint discrete Dirac equations with spectral parameter in boundary conditions, Abstract and Applied Analysis, Volume 2012, Article ID 924628, 15 pages. (SCI-Expanded)

7. Aygar Y., Olgun M.,  Investigation of the spectrum and the Jost solutions of discrete Dirac system on the whole axis, Journal of Inequalities and Applications, 2014:73, 2014. (SCI-Expanded)

8. Aygar Y., Bohner M., On the spectrum of eigenparameter-dependent quantum difference equations, Applied Mathematics&Information Sciences, 9: 1725-1729, 2015. (Mathscinet)

9. Aygar Y., Bohner M.,  A Polynomial–Type Jost Solution and Spectral Properties of a Self-Adjoint Quantum-Difference OperatorComplex Analysis and Operator Theory, 10(6): 1171-1180, 2016. (SCI-Expanded)

10. Aygar Y., Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter, Advances in Difference Equations, 2015:249, 2015. (SCI-Expanded)

11.  Aygar Y., Investigation of spectral analysis of matrix quantum difference equations with spectral singularities, Hacettepe Journal of Mathematics and Statistics, 45(4): 1-7, 2016. (SCI-Expanded)

12.  Aygar Y., Quadratic eigenparameter-dependent quantum difference equations, Turkish Journal of Mathematics, 40: 445-452, 2016. (SCI-Expanded)

13.  Aygar Y., Bohner M.,  Spectral analysis of a matrix-valued quantum-difference operator, Dynamic Systems and Applications, 25:1-9, 2016. (SCI-Expanded)

14.  Bairamov E., Aygar Y., Cebesoy S., Spectral analysis of a self-adjoınt matrix-valued dıscrete operator on the whole axis, Journal of Nonlinear Sciences and Applications, 9 (2016), no:6, 4257-4262, 2016. (SCI-Expanded)

15.  Aygar Y., A Research on Spectral Analysis of a matrix Quantum Difference Equations with Spectral Singularities, Quaestiones Mathematicae, 40 (2) 245-249, 2017. (SCI-Expanded) 

16.  Aygar Y., Bairamov E., Yardımcı S., A Note on spectral properties of a Dirac system with matrix coefficient, Journal of Nonlinear Sciences and Applications, 10 (2017), 1459–1469, 2017. (SCI-Expanded) (Doktora tezinden üretilmiştir)

17.  Cebesoy S.,  Aygar Y., Bairamov E.,   Matrix Valued Difference Equations with spectral singularities, International Science Index, wast.org 2015, 17 (11) Part II, 2015. (Google Scholar) 

18.   Aygar Y., On the Jost Solution and Its Properties of Quantum Difference Equations with Hyperbolic Eigenparameter, MATEC Web of Conferences 6, ICIEA 2016, 8 16005, 2016. (Web of science, Scopus) 

19.  Bairamov E.,  Aygar Y., Eren B., Scattering Theory of Impulsive Sturm-Liouville Equations, Filomat, 31:17, 5401-5409, 2017. (SCI-Expanded)

20.  Bairamov E.,  Aygar Y., Karslıoglu D., Scattering Analysis and Spectrum of Discrete Schrödinger Equations with Transmission Conditions, Filomat, 31:17, 5391-5399, 2017. (SCI-Expanded)

21. Aygar Y., The Effects of Hyperbolic Eigenparameter on Spectral Analysis of a Quantum Difference Equations, Malaysian Journal Of Mathematıcal Sciences, 11:3, 2017.  (Scopus)

22. Bairamov E., Aygar Y., Cebesoy S.Spectral properties of quadratic pencil of Schrödinger equations with transmission conditionsIOP Conf. Series: Journal of Physics: Conf. Series, 1053 (2018), 012062 doi :10.1088/1742-6596/1053/1/012062, 2018.  (Scopus)


 KİTAP BÖLÜMÜ

Aygar Y., Olgun M., Principal Vectors of Matrix-valued Difference Operators; Computational Analysis, Springer,  volume 155 chp. 17, 2016. 

ULUSLARARASI BİLİMSEL TOPLANTILARDA SUNULAN VE BİLDİRİ KİTAPLARINDA ÖZETİ BASILAN BİLDİRİLER

1. Aygar Yelda and Olgun Murat, “Jost Solution and the Spectrum of the Discrete Dirac Systems”, International Conference on Applied Analysis and Algebra (ICAAA  2011), 29th June-2nd July, Yıldız Technical University,  Istanbul –Turkey, 2011.   (Özet bildiri)

2. Olgun Murat and Aygar Yelda, “ Spectral Analysis of Non-Selfadjoint Matrix-Sturm-     Liouville Equations”, The 4th Congress of the Turkic World Mathematical Society (TWMS) 1st-3rd July, Bakü-Azerbaija, 2011. (Özet bildiri)

3. Aygar Yelda, “Uniform Convergence of the Two-dimensional Exponential Integral Functions”, Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies-Liege/Belgian, 6-8 June 2012. (Poster bildiri)

4. Bayram Elgiz,  Aygar Yelda and Olgun Murat, “Investigation of the spectrum and the Jost Solutions of Discrete Dirac System on the whole axis”, International Conference on Applied Analysis and Mathematical Modelling (ICAAMM 2013), 2-5 June, İstanbul-Turkey, 2013. (Özet bildiri)

5. Cebesoy Serifenur and Aygar  Yelda, “A study on the Jost solution and the spectral properties of the matrix-valued difference operators”, 2. International Eurasion Conference on Mathematics Sciences and Applications (IECMSA-2013), 26-29 August, Sarajevo Bosnıa and Hercegovına, 2013. (Özet bildiri)

6. Aygar Yelda and Olgun Murat, “Principal Vectors of Matrix-valued Difference Operators”, 3rd International Conference on Applied Mathematics & Approximation Theory  (AMAT 2015), 28-31 May, Ankara-Turkey, 2015. (Özet bildiri)

7. Yelda Aygar and Martin Bohner, “Spectral Analysis of a Matrix Quantum-Difference Equation”, International Conference On Recent Advances In Pure And Applied Mathematics  (ICRAPAM 2015), 3-6 June, Istanbul-Turkey, 2015. (Özet bildiri)

8. Cebesoy Serifenur, Bairamov Elgiz, and Aygar Yelda, “Some Spectral Properties of Second-Order Matrix Difference Equations on the Whole Axis”, International Conference On Recent Advances In Pure And Applied Mathematics (ICRAPAM 2015), 3-6 June , Istanbul-Turkey, 2015. (Özet bildiri)

9. Cebesoy Serifenur, Bairamov Elgiz, and Aygar Yelda, “Matrix-Valued Difference Operators with Polynomial Type Jost Solutions on the whole axis”, International Conference on Pure and Applied Mathematics (ICPAM 2015), 28-30 August Van-Turkey, 2015. (Özet bildiri)

10. Cebesoy Serifenur, Aygar Yelda and Bairamov Elgiz, “Matrix-Valued Difference Equations with spectral singularities”, 17th International Conference on Applied Mathematics and Approximation Theory (ICAMAT 2015), 9-10 November, Venice-Italy, 2015. (Tam metin bildiri)

11. Aygar Yelda, “On the Jost solution and its properties of quantum difference equations with hyperbolic eigenparameter”, International Conference on Natural Science and Applied Mathematics (ICNSAM 2016), 7-9 April, Dubai, 2016. (Tam metin bildiri)

12. Bairamov Elgiz, Cebesoy Serifenur and Aygar Yelda, “Some spectral properties of nonselfadjoint Matrix valued difference operator”, International Conference on Advances in Natural and Applied Sciences (ICANAS 2016), 21-23 April, Antalya-Turkey, 2016. (Özet bildiri)

13. Aygar Yelda and Bairamov Elgiz, “Properties of the two-dimensional exponential integral functions”, International Conference on Mathematics and Mathematics Education (ICMME-2016), 12-14 May, Elazığ-Turkey, 2016. (Özet bildiri)

14. Aygar Yelda and Bairamov Elgiz, “Jost solution and spectral properties of Dirac system with matrix coefficient”, International Conference on Mathematics and Mathematics Education (ICMME-2016), 12-14 May, Elazığ-Turkey, 2016. (Özet bildiri)

15. Aygar Yelda, “Spectral properties of a matrix quantum difference equation with spectral singularities”, International conference on Applied Mathematics and Analysis (ICAMA 2016) 11-13 July, Ankara-Turkey, 2016. (Özet bildiri)

16. Aygar Yelda, “Spectral theory of a quantum difference equation with hyperbolic eigenparameter”, International Congress on Fundamental and Applied Sciences (ICFAS2016), 22-26 August, Istanbul-Turkey, 2016. (Özet bildiri)

17. Aygar Yelda and Yardımcı Şeyhmus,  “Studying on spectral analysis of a nonselfadjoint matrix quantum difference equation”, International Congress on Fundamental and Applied Sciences (ICFAS2016), 22-26 August, Istanbul-Turkey, 2016. (Özet bildiri)

18.  Aygar Yelda, “Spectral properties of a selfadjoint matrix quantum difference equation”, The 24th Conference on Applied and Industrial Mathematics (CAIM 2016), 15-18 September, Craiova-Romai, 2016. (Özet bildiri)

19. Aygar Yelda and Bairamov Elgiz, “Spectral properties of a selfadjoint quantum difference equation with matrix coefficient”, International Congress on Mathematics and Mathematics Education (ICMME2017), 11-13 May, Sanlıurfa-Turkey, 2017. (Özet bildiri)

20. Bayram Elgiz, Aygar Yelda and Solmaz Seyda, “Discrete Dirac system with a point Interaction ”, International Workshop on Mathematical Methods in Engineering (MME2017), 27-29 April, Ankara-Turkey,  2017.  (Özet bildiri)

21. Bayram Elgiz, Aygar Yelda and Eren Basak, “Scattering solutions of Impulsive Sturm-Liouville equations”, International Workshop on Mathematical Methods in Engineering (MME2017), 27-29 April, Ankara-Turkey,  2017.  (Özet bildiri)

22. Bayram Elgiz, Aygar Yelda and Ozbey G. Gulcehre, “The Resolvent of discrete Sturm-Liouville equation with eigenparameter in boundary condition”, International Workshop on Mathematical Methods in Engineering (MME2017), 27-29 April, Ankara-Turkey,  2017.  (Özet bildiri)

23. Bayram Elgiz, Aygar Yelda and Karslıoglu Dilara, “Scattering solutions of Impulsive discrete Sturm-Liouville equations”, International Workshop on Mathematical Methods in Engineering (MME2017), 27-29 April, Ankara-Turkey,  2017.  (Özet bildiri)

24. Bayram Elgiz and Aygar Yelda “Scattering solution of Impulsive Sturm-Liouville equation in quantum calculus”, International Workshop on Mathematical Methods in Engineering (MME2017), 27-29 April, Ankara-Turkey,  2017.  (Özet bildiri)

25. Aygar Yelda and Yardımcı Şeyhmus,  “Spectral analysis of a selfadjoint difference equation in quantum calculus”, Computational Methods and Function Theory (CMFT2017), 10-15 July, Lublin-Poland, 2017. (Poster bildiri)

26. Aygar Yelda, Bairamov Elgiz and Özbey G. Gülçehre, “On the spectral analysis of a discrete Sturm-Liouville equation”, Computational Methods and Function Theory (CMFT2017), 10-15 July, Lublin-Poland, 2017.  (Özet bildiri)

27. Aygar Yelda and Bayram Elgiz “Spectral Analysis of the Quadratic Pencil of Schrödinger Equation with a General Boundary Condition”, International Workshop on Mathematical Methods in Engineering (MME2017), 27-29 April, Ankara-Turkey,  2017.  (Özet bildiri)

28. Aygar Yelda, Bairamov Elgiz and Cebesoy Serifenur “A study on properties of scattering solutions, scattering function of an impulsive difference equation with matrix coefficients”, International Conference on Physics, Mathematics and Statistics (ICPMS 2018), 12-14 May, Shanghai-China, 2018.  (Bildiri)

29. Bairamov Elgiz, Aygar Yelda and Cebesoy Serifenur “Spectral properties of quadratic pencil of Schrödinger equations with transmission conditions”, International Conference on Physics, Mathematics and Statistics (ICPMS 2018), 12-14 May, Shanghai-China, 2018.  (Tam metin bildiri)

30. Aygar Yelda, Bairamov Elgiz and Cebesoy Serifenur “Investigation of spectrum and scattering function of impulsive matrix difference operators”, International Conference on Mathematical Analysis, Differential Equation & Applications (MADEA 8), 17-23 June, Cholpon-Ata-Kırgyz Republic, 2018.  (Özet bildiri)

31. Bairamov Elgiz, Aygar Yelda and Cebesoy Serifenur “Spectral analysis of the impulsive quadratic pencil of Schrödinger operators with spectral singularities”, International Conference on Mathematical Analysis, Differential Equation & Applications (MADEA 8), 17-23 June, Cholpon-Ata-Kırgyz Republic, 2018.  (Özet bildiri)

32. Cebesoy Serifenur, Bairamov Elgiz and Aygar Yelda “Scattering problems of impulsive Sturm-Liouville equations with matrix coefficients”, International Conference on Mathematical Analysis, Differential Equation & Applications (MADEA 8), 17-23 June, Cholpon-Ata-Kırgyz Republic, 2018.  (Özet bildiri)

33. Aygar Yelda, Bairamov Elgiz and Ozbey Gülçehre “Spectral properties and scattering problems of eigenparameter dependent impulsive Sturm-Liouville equations”, 6th International Conference on Control and Optimization with Industrial Applications (COIA 2018), 11-13 July, Baku-Azerbaijan, 2018.  (Tam Metin bildiri)


34. Aygar Yelda, Bairamov Elgiz and Oznur Basak “Properties of scattering solutions, scattering functions and spectrum of eigenparameter dependent impulsive Sturm-Liouville equations”, 6th International Conference on Control and Optimization with Industrial Applications (COIA 2018), 11-13 July, Baku-Azerbaijan, 2018.  (Tam Metin bildiri)

35. Aygar Yelda, Bairamov Elgiz and Karslioglu Dilara “Scattering Analysis of discrete Schrödinger equations with impulsive conditions”, 7th International Conference on Applied Analysis and Mathematical Modelling (ICAAMM18), 20-24 June, Istanbul-Turkey, 2018. (Özet bildiri)

 

ULUSAL BİLİMSEL TOPLANTILARDA SUNULAN VE BİLDİRİ KİTAPLARINDA ÖZETİ BASILAN BİLDİRİLER

1. Olgun Murat and Aygar Yelda, “Selfadjoint olmayan matris katsayılı Sturm-Liouville operatörlerinin spektral analizi”, 5. Ankara Matematik, TOBB Ekonomi ve Teknoloji Üniversitesi, Matematik Bölümü, Ankara, Türkiye, 3-4 Haziran 2010. (Özet bildiri)

2. Aygar Yelda and Koprubası Turhan, “Sınır kosulunda spektral parametre bulunan birinci mertebeden non-selfadjoint fark denklemleri sisteminin spektral analizi”,  XXIII. Ulusal Matematik Sempozyumu, Erciyes Üniversitesi, Matematik Bölümü, Kayseri, Türkiye, 4-7 Ağustos 2010. (Özet bildiri)

3. Aygar Yelda, “Polinomial Çözüme sahip self-adjoint matris katsayılı fark denkleminin spektral analizi”.  14. Mathematic Symposium, 2015, Niğde Üniversitesi, Matematik Bölümü, Niğde, Türkiye, 14-16 Mayıs 2015. (Özet bildiri)

 

SEMİNERLER (YURTDIŞI-YURTİÇİ)

1. Aygar Yelda, “Spectral analysis of a matrix-valued quantum difference operator”, Time Scales Seminar of the Department of Mathematics and Statistics at the Missouri University of S&T, April 16, Rolla-USA, 2014. (Davetli Konuşmacı)

2.  Aygar Yelda, “Jost solution and spectral properties of selfadjoint matrix-valued difference operators”, Time Scales Seminar of the Department of Mathematics and Statistics at the Missouri University of S&T, November 13, Rolla-USA, 2013. (Davetli Konuşmacı)

3.  Aygar Yelda, “A polynomial-type Jost solution and spectral properties of a self-adjoint q-difference operator”, Time Scales Seminar of the Department of Mathematics and Statistics at the Missouri University of S&T, January 29, Rolla-USA, 2014. (Davetli Konuşmacı)

4.  Aygar Yelda, “On the spectrum of eigenparameter-dependent quantum difference equations”, Time Scales Seminar of the Department of Mathematics and Statistics at the Missouri University of S&T, September 10, Rolla-USA, 2014. (Davetli Konuşmacı)

5. Aygar Yelda, "Sonsuz Jacobi Matrisi İçeren Denklemlerin Çözümleri’’Ankara Üniversitesi, Matematik Bölümü, Ankara, 28 Aralık 2007.

6. Aygar Yelda, "Diskre Dirac Sisteminin Jost Çözümü ve Spektrumu", Ankara Üniversitesi, Matematik Bölümü, Ankara, 22 Aralık 2010.

7. Aygar Yelda, “Dirac sisteminin periyodik ve yarı periyodik koşullu çözümleri”, Ankara Üniversitesi, Matematik Bölümü, Ankara, 4 Nisan 2010.

8. Aygar Yelda, “About the spectral analysis of  q-difference equations and operators”. Çankaya Üniversitesi Matematik Bilgisayar Bölümü, 25 Kasım 2016. (Davetli Konuşmacı)

 

PROJELER

Yelda Aygar,  “Matris değerli kuantum fark operatörlerinin spektral analizi”, yüksek öğretim kurumlarından destekli bilimsel araştırma projesi (Ankara Üniversitesi bilimsel araştırmaları destekleme koordinatörlüğü), Yürütücü.

Proje No: 15H0430007

Durumu: Sonlandı

Sonlanma tarihi\Proje sonuç raporu kabul tarihi: 17.03.2017

 

 

 YÖNETİLEN TEZLER

1. Yüksek lisans tezi: G. Gülçehre Özbey, Sınır koşullarında spektral parametre bulunduran nonselfadjoint q-fark denkleminin spektral analizi. 28 June, 2017.

 

2.  Yüksek lisans tezi: Dilara Karslıoglu, Sturm-Liouville denklemleri için Levinson formülü, (devam ediyor).

 

 

 ALDIĞI BURS VE ÖDÜLLER

  • TUBİTAK Yurtiçi Doktora Bursu (2008-2013)
  • TUBİTAK Yurtiçi Yüksek Lisans Bursu (2006-2008)
  • YOK Doktora sonrası Araştırma Bursu (Ekim 2013-Ekim 2014)

 

DİĞER AKADEMİK FAALİYETLER

1. “11. Ankara Matematik Günleri”, organize komitesi üyeliği, 2016.

 

2.Türk Matematikçiler derneği, üye,  2016-…

 

3. “International Conference on Mathematics and Mathematics Education” (ICMME-2016), organize komitesi üyeliği, 2016.

 

4. “14. Matematik sempozyumu”, organize komitesi üyeliği, 2015.

 

5. International Society of Difference Equations (ISDE), üye, 2014-…

 

6. Matematikçiler derneği, üye, 2015-…

 

7. “International Conference on Mathematics and Mathematics Education” (ICMME-2017), organize komitesi üyeliği, 2017.