General Information

Institutional Information: Fen Fakültesi, Matematik Bölümü, Fonsiyonel Analiz Anabilim Dalı
Research Areas: Differential Equations, Functional Equations, Functional Analysis, General Mathematics, Operators, Numerical Analysis

Names in Publications: AYGAR KÜÇÜKEVCİLİOĞLU YELDA, Yelda Aygar

Metrics

Publication

98

Citation (WoS)

207

H-Index (WoS)

8

Citation (Scopus)

177

H-Index (Scopus)

8

Citation (Scholar)

173

H-Index (Scholar)

9

Citiation (TrDizin)

3

H-Index (TrDizin)

1

Project

4

Thesis Advisory

4

Open Access

16

Biography

Yayınlar:

47.  Öznur G. B., Özbey G. G., Aygar Y.,  Aktaş Karaman R., A Study of the scattering analysis of the multiplicative Sturm-Liouville problem, Turkish Journal of mathematics, 2024, https://doi:org/10.55730/1300-0098

46.  Allahverdiev B. P., Aygar Y.,  Some spectral problems  of dissipative q-Sturm-Liouville operators in limit-point case for q>1, Filomat, 2024 (accepted).     

45.  Öznur G. B., Bairamov E., Aygar Y.,  Impulsive Discrete Dirac Equation with Spectral Parameter, Filomat, 2024 (accepted).     

44. Aktaş Karaman R., Gündoğan Lekesiz E., Aygar Y., A Study on Sobolev orthogonal polynomials on triangle, Numerical Algorithms, 1-30, https://doi.org/10.1007/s11075-023-01732-5

43. Öznur G. B., Aygar Y.,  A Study of the scattering properties of eigenparameter dependent matrix difference operator with tansmission condition, Kragujevac Journal of Mathematics, 50(3), 479-489, 2026.

42.  Özbey G. G., Aygar Y.,  Öznur G. B., Discrete Sturm-Liouville equations with point interaction, The Journal of Analysis, 1-13.  https://doi.org/10.1007/s41478-023-00718-9

41.  Cebesoy C., Bairamov E., Aygar Y., Scattering problems of impulsive  Schrödinger equations with matrix coefficients, Ricerche di Matematica, 72(1), 399-415, 2023.

40.  Bairamov E., Aygar Y., Cebesoy C., Spectral analysis of the impulsive quadratic pencil of Schrödinger operators with spectral singularities,  Complex Variables and Elliptic Equations, 68(3), 430-444, 2023.

39.  Oznur B., Aygar Y., Aral N.D., An Examination of boundary value transmission problem with Quadratic Spectral Parameter, Quaestiones Mathematicae, 46(5), 871-885, 2023.

38.  Taş H., Aygar Kucukevcilioglu Y., Bayram E., Scattering solutions and scattering functionof a Klein-Gordon s-wave equation with jump conditions, Turkish Journal of Mathematics, 47(2), 721-731, 2023.

37.  Özbey G. G., Öznur G. B., Aygar Y., Koprubası T., Some spectral and scattering properties of generalized eigenparameter dependent discrete transmission Sturm-Liouville equation, Honam Mathematical Journal,  45(3), 457-470, 2023.

36.  Öznur G. B., Aygar Y., Spectral analysis of a difference equation with interface conditions and hyperbolic eigenparameter on the whole axis, Note di Matematica, 43(1), 67-80, 2023.

35.  Öznur G. B., Özbey G. G., Aygar Y.,  Aktaş Karaman R., Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 72(4), 1141-1154, 2023.

34.  Aygar Y., Özbey G. G., Öznur G. B., Quantum difference problem with point interaction, Konuralp Journal of Mathematics, 11(2), 218-228, 2023.

33Aygar Kucukevcilioglu Y., Koprubası T., A discrete boundary value problem with point interaction, Filomat, 36:18, 6279-6288, 2022.

32.  Aygar Y., Özbey G. G., Scattering analysis of a quantum impulsive boundary value problem with spectral parameter, Hacettepe Journal of Mathematics and Statistics, 51:1, 142-155, 2022.

31.  Köprubası T., Aygar Kucukevcilioglu Y., Discrete impulsive Sturm-Liouville equation with hyperbolic eigenparameter,  Turkish Journal Of Mathematics, 46, 387-396, 2022.

30.  Aygar Y., Özbey G., Spectral properties of a discrete Sturm-Liouville Equations, Applied Mathematics E-Notes, 22(2022), 335-344, 2022.

29. Aygar Y., Öznur B., Matrix Difference Equations with jump conditions and hyperbolic eigenparameter, Acta Mathematica Universitatis Comenianae, XCI:2, 149-159, 2022.

28.  Aygar Y., Bairamov E., Series expansion, asymptotic behavior and computation of the values of the Schwarzschild-Milne integrals arising in a radiative transfer,  Applied and Computational Mathematic, 20 (2), 236-246, 2021.

27.  Aygar Kucukevcilioglu Y., Bairamov E.,  Özbey G., On the spectral and scattering properties of eigenparameter dependent impulsive Sturm-Liouville equations, Turkish Journal Of Mathematics, 45:2, 988-1000.

26.  Bairamov E., Aygar Y., Oznur, B., Scattering Properties of Eigenparameter Dependent Impulsive Sturm-Liouville Equations, Bulletin of the Malaysian Mathematical Sciences Society, 43, 2769-2781, 2020. 

25.  Bairamov E., Aygar Y., Cebesoy S., Investigation of Spectrum and Scattering Function of Impulsive Matrix Difference Operators, Filomat, 35:5, 1301-1312, 2019.

24.  Aygar Y., Bairamov E., Scattering Theory of Impulsive Sturm–Liouville Equation in Quantum Calculus, Bulletin of the Malaysian Mathematical Sciences Society, (2019) 42, 3247-3259, 2019.

23.  Bairamov E., Aygar Y., Cebesoy S., Spectral properties of quadratic pencil of Schrödinger equations with transmission conditions, IOP Conf. Series: Journal of Physics: Conf. Series, 1053 (2018), 2018. 

22.  Aygar Y., Bairamov E. Ozbey G. Spectral properties and scattering problems of eigenparameter dependent impulsive Sturm-Liouville equations, Proceedings of the 6th International Conference on Control and Optimization with Industrial Applications, vol1, 113-115, 2018.

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

20.  Bairamov E.,  Aygar Y., Eren B., Scattering Theory of Impulsive Sturm-Liouville Equations, Filomat, 31:17, 5401-5409, 2017.

19. 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.

18.  Aygar Y., The Effects of Hyperbolic Eigenparameter on Spectral Analysis of a Quantum Difference Equations, Malaysian Journal of Mathematial Sciences, 11:3, 317-330, 2017.

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

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

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

14.  Aygar Y., Quadratic eigenparameter-dependent quantum difference equations, Turkish Journal of Mathematics, 40: 445-452, 2016.

13.  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.

12.  Aygar Y., Bohner M.,  A Polynomial–Type Jost solution and spectral properties of a self-adjoint quantum-difference operator, Complex Analysis and Operator Theory, 10(6): 1171-1180, 2016.

11.  Aygar Y., On the Jost solution and its properties of quantum difference operators with hyperbolic eigenparameter, 3th International Conference on Industrial Engineering and Applications (ICIEA), MATEC Web of Conferences, 2016, 68, 16005, 2016.

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.

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

8. Cebesoy S., Aygar Y., Bairamov E.,   Matrix Valued Difference Equations with spectral singularities, International Journal of Mathematical, Computational, Phsical, Electrical and Computer Engineering, 9 (11) 579-582, 2015.

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.

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, 2012.

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.

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.

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

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

1. Aygar Y., Bairamov E.,  Jost Solution and the Spectral Properties of the Matrix-Valued difference operators, Applied Mathematics and Computation, 218: 9676-9681, 2012.


Kitap Bölümü:

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


Bilimsel Toplantılar:

47. Aygar Yelda, Öznur G. Başak, Spectral analysis of a difference equation with interface conditions and hyperbolic eigenparameter on the whole axis. Functional Analysis, Approximation Theory and Numerical Analysis (FAATNA20>22), July 5-8, Matera-Italy, 2022.

46. Aygar Yelda, Öznur G. Başak, Matrix difference operator with interface condition. 1st International Conference on Innovative Academic Studies (ICIAS), September 10-13, Konya, Turkey, 2022.

45. Öznur G. Başak, Aygar Yelda,  A Study of the scattering properties of eigenparameter-dependent matrix difference operator with transmission condition6th International Conference of Mathematical Sciences (ICMS 2022), July 20-24, Istanbul-Turkey, 2022.

44. Aygar Yelda, Öznur G. Başak, Spectral and scattering properties of eigenparameter-dependent discrete Dirac equation with point interaction. International Symposium on Applied Mathematics and Engineering (ISAME2022), January 21-23, Istanbul-Turkey, 2022.

43. Özbey G. Gülçehre,  Aygar Yelda, Öznur G. Başak,  Discrete Sturm-Liouville equation  with point interaction. International Conference on Applied Mathematics in Engineering (ICAME), 1-3 September, Balıkesir-Turkey, 2021.

42. Öznur G. Başak, Bairamov Elgiz, Aygar Yelda, Impulsive discrete Dirac equation with spectral parameter. International Conference on Applied Mathematics in Engineering (ICAME), 1-3 September, Balıkesir-Turkey, 2021.

41. Aygar Yelda, Polinomial Çözüme sahip self-adjoint matris katsayılı fark denkleminin spektral analizi. 14. Mathematik Sempozyumu, 2015, Niğde Üniversitesi, Matematik Bölümü, Niğde-Türkiye, 14-16 Mayıs 2015. (Özet bildiri)

40. 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)

39. Bairamov Elgiz, Aygar Yelda 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)

 38. 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), 11-13July, Baku-Azerbaijan,  2018.  (Tam Metin bildiri)

 37. 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)

 36. 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)

 35. 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-KırgyzRepublic, 2018.  (Özet bildiri)

 34. 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)

 33. 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. (Özet Bildiri)

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

31. 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)

 30. 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)

 29. 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. 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)

27. 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)

 26. 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)

 25. 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)

 24. 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)

 23. Aygar YeldaBairamov 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)

 22. 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)

 21. 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)

 20. 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)

 19. Aygar YeldaSpectral 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)

 18. 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)

 

17. 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)

 16. Bairamov Elgiz, Cebesoy Serifenur and Aygar YeldaSome 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)

 15. Aygar YeldaOn the Jost solution and its properties of quantum difference equations with hyperbolic eigenparameter. International Conference on Natural Science and Applied Sciences (ICNSAM 2016), 7-9 April, Dubai, 2016. (Tam metin bildiri)

 14. 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)

13. Cebesoy Serifenur, Bairamov Elgiz, 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)

12. Cebesoy Serifenur, Bairamov Elgiz, Aygar Yelda, Some spectral properties of econd-order matrix difference equations on the whole axis. International Conference On Recent Advances In Pure And Applied Mathematics, (ICRAPAM 2015), Istanbul, Turkey, 3-6 June, 2015. (Özet bildiri)

11. Aygar Yelda, Bohner Martin, Spectral analysis of a matrix quantum-difference equation. International Conference On Recent Advances In Pure And Applied Mathematics,  (ICRAPAM 2015), Istanbul, Turkey, 3-6 June, 2015. (Özet bildiri)

 10. Aygar Yelda, Olgun Murat, Principal vectors of matrix-valued difference operators. 3rd International Conference on Applied Mathematics & Approximation Theory (AMAT 2015), Ankara-Turkey, May 28-31, 2015. (Özet bildiri)

 9. 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)

 8. 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)

 7. Aygar Yelda, A Polynomial-type Jost solution and spectral properties of a selfadjoint 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)

6. Aygar Yelda, Jost solution ans 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)

 5. Cebesoy Serifenur, Yelda Aygar, 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)

 4. Aygar Yelda, 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)

 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)

 2. Olgun Murat and Aygar YeldaSpectral analysis of non-selfadjoint matrix Sturm-Liouville equations. The 4th Congress of the Turkic World Mathematical Society (TWMS), 1-3 July, Baku-Azerbaijan, 2011. (Özet bildiri)

 1. Olgun Murat and Aygar Yelda, Jost solution and the spectrum of the discrete Dirac systems. International Conferrence on Applied Analysis and Algebra (ICAA 2011), June 29 - July 3 İstanbul-Turkey, 2011. (Özet bildiri)