University of Kragujevac

Faculty of Technical Sciences Čačak

FTN Čačak

UNI KG

Prof. dr Dragan Djurčić

Contact
University of Kragujevac
Faculty of Technical Sciences
Svetog Save 65
32000 Čačak
Serbia

Office: 131
Telephone: +381 (0)32 302-723
Fax: +381 (0)32 342-101
E-mail: dragan.djurcic@ftn.kg.ac.rs
SHORT BIOGRAPHY

Dragan Djurčić was born on September 13 1967 in Kraljevo. He now lives in Vraneši near municiplaity Vrnjačka Banja. He is married and has two children.

He graduated at the Faculty of Mathematics, University of Belgrade in 1992, and defended his Magister of Science thesis at the same faculty in 1995.

He defended his Ph.D. thesis entitled "Karamata's Theory and Theorems of Tauber Type" in 1999 at the Faculty of Science, University of Kragujevac.

He is author and co-author of more than 30 papers published in top international scientific journals. He also presented his research results at many important mathematical conferences devoted to mathematical analysis that were held in Serbia in the last 10 years.

Besides analysis, other areas of his research interest are Selection principles, Topological Games and Fuzzy Theory.

He is the author and co-author of 6 university books (3 textbooks and 3 books of solved problems for students). He is also co-author of one chapter in an international monograph.

He was teaching at the Faculty of Mathematics, University of Belgrade, Faculty of science, University of Kragujevac, Faculty of Mechanical Engineering in Kraljevo, University of Kragujevac, Faculty of Philosophy, University of East Sarajevo (Bosina and Herzegovina), College of Technical Engineering in Čačak.

In the last 10 years he takes part in projects funded by Ministry of Science of Republic Serbia (A1 cathegory). He is member of Editorial boards of 2 widely recognized international jourals.

SELECTED PAPERS

  1. D. Djurčić, O-regularly varying functions and some asymptotic relations, Publications de l'Institut Mathématique, Nouvelle Série, 61 (75) (1997), 44-52.

  2. D. Djurčić, V. Božin, A proof of a S. Aljancic hypothesis on O–regularly varying sequences, Publications de l'Institut Mathématique, Nouvelle Série, 62 (76) (1997), 46-52.

  3. D. Djurčić, Characterizations of some classes of functions related to Karamata theory, Mathematica Moravica, 1 (1997), 27-32.

  4. D. Djurčić, M. Žižović, The sequence of exponents of Karamata's convergence, Filomat, 12 (1998), 63-66.

  5. D. Djurčić, O–regularly varying functions and strong asymptotic equivalence, Journal of Mathematical Analysis and Applications, 220 (2) (1998), 451-461. (doi: 10.1006/jmaa.1997.5807)

  6. M.R. Tasković, V. Rakočević, D. Djurčić, Brouwer's theorem - 90th next, Mathematica Moravica, 3 (1999), 1-4.

  7. D. Djurčić, A. Torgašev, O-regular variability and power series, Filomat, 15 (2001), 215-220.

  8. D. Djurčić, A. Torgašev, Strong Asymptotic Equivalence and Inversion of Functions in the Class Kc, Journal of Mathematical Analysis and Applications, 255 (2001), 383-390. (doi: 10.1006/jmaa.2000.7083)

  9. D. Djurčić, A theorem on a representation of *-regularly varying sequence, Filomat, 16 (2002), 1-6. (doi: 10.2298/FIL0216001D)

  10. Dragan Djurčić, Aleksandar Torgašev, Representation theorems for sequences of the classes CRc and ERc, Siberian Mathematical Journal, 45 (5) (2004), 834-838. (doi: 10.1023/B:SIMJ.0000042475.70494.fd)

  11. Dragan Djurčić, Aleksandar Torgašev, On the Seneta sequences, Acta Math. Sinica, 22 (3) (2006), 689-692. (doi: 10.1007/s10114-005-0684-4)

  12. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, Relations between Sequences and Selection Properties, Abstract and Applied Analysis, 2007 (2007), Article ID: 43081, 8 pages. (doi: 10.1155/2007/43081)

  13. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, Some properties of rapidly varying sequences, Journal of Mathematical Analysis and Applications, 327 (2) (2007), 1297-1306. (doi: 10.1016/j.jmaa.2006.05.024)

  14. Dragan Djurčić, Aleksandar Torgašev, Some asymptotic relations for the generalized inverse, Journal of Mathematical Analysis and Applications, 335 (2) (2007), 1397-1402. (doi: 10.1016/j.jmaa.2007.02.039)

  15. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, On increasing rapidly varying seqeuences, Note di Matematica, 27 (1) (2007), 55-63. (url: 548/411)

  16. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, Rapidly varying sequences and rapid convergence, Topology and its Applications, 155 (2008), 2143-2149. (doi: 10.1016/j.topol.2007.05.026)

  17. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, Classes of sequences of real numbers, games and selection properties, Topology and its Applications, 156 (2008), 46-55. (doi: 10.1016/j.topol.2008.02.013)

  18. Dragan Djurčić, Aleksandar Torgašev, Siniša Ješić, The strong asymptotic equivalence and the generalized inverse, Siberian Mathematical Journal, 49 (4) (2008), 628-636. (doi: 10.1007/s11202-008-0059-z)

  19. Dragan Djurčić, Aleksandar Torgašev, A Theorem of Galambos-Bojanic-Seneta Type, Abstract and Applied Analysis, 2009 (2009), Article ID: 360794, 6 pages. (doi: 10.1155/2009/360794)

  20. Giuseppe Di Maio, Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, Statistical convergence, selection principles and asymptotic analysis, Chaos, Solitons and Fractals, 42 (5) (2009), 2815-2821. (doi: 10.1016/j.chaos.2009.04.033)

  21. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, A few remarks on divergent sequences: Rates of divergence, Journal of Mathematical Analysis and Applications, 360 (2009), 588-598. (doi: 10.1016/j.jmaa.2009.07.003)

  22. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižovic, A few remarks on divergent sequences: Rates of divergence II, Journal of Mathematical Analysis and Applications, 367 (2010), 705-709. (doi: 10.1016/j.jmaa.2009.12.036)

  23. Dragan Djurčić, Rale Nikolić, Aleksandar Torgašev, The weak asymptotic equivalence and the generalized inverse, Lithuanian Mathematical Journal, 50 (1) (2010), 34-42. (doi: 10.1007/s10986-010-9069-1)

  24. Dragan Djurčić, Ljubiša Kočinac, Mališa Žižović, Summability of Sequences and Selection Properties, Abstract and Applied Analysis, 2011 (2011), Article ID: 213816, 8 pages. (doi: 10.1155/2011/213816)

  25. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa Žižović, Exponents of Convergence and Games, Advances in Dynamical Systems and Applications, 6 (1) (2011), 41-48. (url: v6n1p5)

  26. Dragan Djurčić, Ivan Mitrović, Mladen Janjić, The weak and the strong equivalence relation and the asymptotic inversion, Filomat, 25 (4) (2011), 29-36. (doi: 10.2298/FIL1104029D)

  27. Dragan Djurčić, Rale Nikolić, Aleksandar Torgašev, The weak and strong asymptotic equivalence relations and the generalized inverse, Lithuanian Mathematical Journal, 51 (No) 4 (2011), 472-476. (doi: 10.1007/s10986-011-9141-5)

  28. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, Double Sequences and Selections, Abstract and Applied Analysis, 2012 (2012), Article ID: 497594, 6 pages. (doi: 10.1155/2012/497594)

  29. Dragan Djurčić, Ljubiša D.R. Kočinac, Mališa R. Žižović, On the class S0 of real sequences, Applied Mathematical Letters, 25 (10) (2012), 1296-1298. (doi: 10.1016/j.aml.2011.11.031)

  30. Dragan Djurčić, Ljubiša D.R. Kočinac, A note on convergence in measure and selection principles, Filomat, 26 (3) (2012), 473-477. (doi: 10.2298/FIL1203473D)

  31. Dragan Djurčić, Valentina Konjokrad, Rale M. Nikolić, Asymptotic similarity relation and generalized inverse, Filomat, 26 (5) (2012), 1075-1080. (doi: 10.2298/FIL1205075D)

  32. Dragan Đurčić, Mališa Žižović, Aleksandar Petojević, Note on selection principles of Kočinac, Filomat, 26 (6) (2012), 1291-1295. (doi: 10.2298/FIL1206291D)

  33. Nebojša Elez, Drragan Djurčić, Some properties of rapidly varying functions, Journal of Mathematical Analysis and Applications, 401 (2013), 888-895. (doi: 10.1016/j.jmaa.2012.12.012)

  34. Agata Caserta, Dragan Djurčić, Melanija S. Mitrović, Selection principles and double sequences II, Hacettepe Journal of Mathematics and Statistics, 43 (5) (2014), 725-730. (url: izlik.org/JA42YS97DF)

  35. Nebojša Elez, Dragan Djurčić, Rapid Variability and Karamata's Integral Theorem, Filomat 28 (3) (2014), 487-492. (doi: 10.2298/FIL1403487E)

  36. Dragan Djurčić, Nebojša Elez, Ljubiša D.R. Kočinac, On a subclass of the class of rapidly varying sequences, Applied Mathematics and Computation, 251 (2015), 626-632. (doi: 10.1016/j.amc.2014.11.099)

  37. Valentina Timotić, Dragan Djurčić, Rale Nikolić, On Slowly Varying Sequences, Filomat, 29 (1) (2015), 7-12. (doi:10.2298/FIL1501007T)

  38. Nebojša Elez, Dragan Djurčić, Aleksandar Šebeković, Summation of Double Sequences and Selection Principles, Filomat, 29 (4) (2015), 781-785. (doi:10.2298/FIL1504781E)

  39. Nebojša Elez, Dragan Djurčić, Representation and characterization of rapidly varying functions, Hacettepe Journal of Mathematics and Statistics, 44 (2) (2015), 317-322. (doi: 10.15672/HJMS.2015449105)

  40. Nada Damljanović, Dragan Djurčić, Mališa Žižović, Exponent of Convergence for Double Sequences and Selection Principles, Filomat, 31 (9) (2017), 2821-2825. (doi: 10.2298/FIL1709821D)

  41. Ljubiša D.R. Kočinac, Dragan Djurčić, Jelena V. Manojlović, Regular and Rapid Variations and Some Applications, In: Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal (Eds.), Mathematical Analysis and Applications: Selected Topics, John Wiley & Sons, Inc., 2018, 429-491. (eISBN: 9781119414421, ISBN: 9781119414346) (doi: 10.1002/9781119414421.ch12)

  42. Dragan Djurčić, Ljubiša D.R. Kočinac, More on translationally slowly varying sequences, Maltepe Journal of Mathematics, 1 (1) (2019), 24-29. (dergipark.gov.tr/mjm)

  43. Dragan Djurčić, Nebojša Elez, Valentina Timotić, Logarithmic (translationally) rapidly varying sequences and selection principles, Publications de l’institut mathématique, Nouvelle série, 107 (121) (2020), 45–51. (doi: 10.2298/PIM2021045D)

  44. Kamil Demirci, Dragan Djurčić, Ljubiša Kočinac, Sevda Yıldız, A theory of variations via P-statistical convergence, Publications de l’institut mathématique, Nouvelle série, 110 (124) (2021), 11–27. (doi: 10.2298/PIM2124011D)

  45. Mališa Žižović, Dragan Pamučar, Miomir Stanković, Dragan Đurčić, Miodrag M. Žižović, Concept for determining weight coefficients of criteria based on the entropy method, Procceedings of the 48th International Symposium on Operations Research SYM-OP-IS 2021, September 20-23, 2021, Banja Koviljača, Serbia, pp. 695-700.

  46. Valentina Timotić, Dragan Djurčić, Mališa R. Žižović, On Rapid Equivalence and Translational Rapid Equivalence, Kragujevac Journal of Mathematics, 46 (2) (2022), 259-265. (doi: 10.46793/KgJMat2202.259T)

  47. Valentina Timotić, Dragan Djurčić, Ljubiša D.R. Kočinac, On Rapidly Varying Sequences, Applicable Analysis and Discrete Mathematics,16 (1) (2022), pp. 83-90. (doi: 10.2298/AADM181107003T)

  48. Dragan Pamučar, Mališa Žižović, Dragan Đuričić, Modification of the Critic Method Using Fuzzy Rough Numbers, Decision Making: Applications in Management and Engineering, 5 (2) (2022), 362-371. (doi: 10.31181/dmame0316102022p)

  49. Dragan Pamučar, Mališa Žižović, Dragan Đuričić, Modification of the Critic Method Using Fuzzy Rough Numbers, 1st Serbian International Conference on Applied Artificial Inteligence, SICAAI 2022, May 19-20. 2022, Kragijevac, Serbia (Book of abstracts, pp. 31).

  50. Dragan Djurčić, Ljubiša D.R. Kočinac, Some applications of double sequences, Chapter 1, 20 pages. In: Bipan Hazarika, Santanu Acharjee, Hari M. Srivastava (Eds.), Advances in Mathematical Analysis and its Applications, CRC Press – Taylor & Francis Group, LLC, 2022. (ISBN: 978-1-032-35804-8 (hbk), ISBN: 978-1-032-36227-4 (pbk), eISBN: 978-1-003-33086-8), (doi: 10.1201/9781003330868)

  51. Dragan Djurčić, Ljubiša D.R. Kočinac, On theorems of Galambos-Bojanić-Seneta type, Chapter 6, 18 pages, In: Bipan Hazarika, Santanu Acharjee, Hari M. Srivastava (Eds.), Advances in Mathematical Analysis and its Applications, CRC Press – Taylor & Francis Group, LLC, 2022. (ISBN: 978-1-032-35804-8 (hbk), ISBN: 978-1-032-36227-4 (pbk), eISBN: 978-1-003-33086-8) (doi: 10.1201/9781003330868)

  52. Dragan Djurčić, Danica Fatić and Nebojša Elez, The Index Function Operator for O-regularly Varying Functions, Kragujevac Journal of Mathematics, 47 (7) (2023), 1041-1046. (doi: 10.46793/KgJMat2307.1041DJ)

  53. Danica Fatić, Dragan Djurčić and Ljubiša D.R. Kočinac, Translational Regular Variability and the Index Function, Axioms, 13 (3) (2024), Article ID: 189, 8 pages. (doi: 10.3390/axioms13030189)

  54. Žarko Mijajlović, Danijela Branković, Dragan Djurčić, Smooth extended regularly varying functions, Filomat, 38 (30) (2024), 10615-10626. (doi: 10.2298/FIL2430615M)

  55. Danica Fatić, Dragan Đurčić, Classical Karamata Theory of Regular Variability and the Index Function Operator, pp. 115-133, (doi: 10.1007/978-3-031-85743-0_7) In: Marija P. Stanić, Miloljub Albijanić, Dragan Djurčić, Miodrag M. Spalević (Eds.), Analysis, Approximation, Optimization: Computation and Applications, In Honor of Gradimir V. Milovanović on the Occasion of His 75th Birthday, Series: Springer Optimization and Its Applications, Vol. 224, Springer, Cham, 2025. (ISBN: 978-3-031-85742-3 (print), 978-3-031-85743-0 (online)) (doi: 10.1007/978-3-031-85743-0_7)

  56. Rale M. Nikolić, Valentina Timotić, Dragan Djurčić, Karamata’s Theory, Asymptotic Relations, and the Generalized Inverse, pp. 235-255, (doi: 10.1007/978-3-031-85743-0_13) In: Marija P. Stanić, Miloljub Albijanić, Dragan Djurčić, Miodrag M. Spalević (Eds.), Analysis, Approximation, Optimization: Computation and Applications, In Honor of Gradimir V. Milovanović on the Occasion of His 75th Birthday, Series: Springer Optimization and Its Applications, Vol. 224, Springer, Cham, 2025. (ISBN: 978-3-031-85742-3 (print), 978-3-031-85743-0 (online)) (doi: d10.1007/978-3-031-85743-0_7)

  57. Danica Fatić, Valentina Timotić, Dragan Djurčić, Traslationlly regularly varying functions in the senseof Karamata and some asymptotic equivalence relations, Filomat, 39 (5) (2025), 1609-1615. (doi: 10.2298/FIL2505609F)

  58. Husniyah Alzubaidi, Dragan Djurčić, Ljubiša D.R. Kočinac, Hakeem A. Othman, 𝒫-topological spaces in simple graphs, Journal of Mathematics and Computer Science (JMCS), 40 (3) (2026), 330-340. (doi: 10.22436/jmcs.040.03.03)