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, Vol. 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. Taskovic, V. Rakocevic, D. Djurčić, Brouwer's theorem - 90th next, Mathematica Moravica, Vol. 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 Vol. 16 (2002), 1-6. (doi: 10.2298/FIL0216001D)

  10. D. Djurčić, A. Torgašev, Representation theorems for sequences of the classes CRc and ERc, Siberian Mathematical Journal, Vol. 45, No. 5 (2004), 834-838. (doi: 10.1023/B:SIMJ.0000042475.70494.fd)

  11. D. Djurčić, A. Torgasev, On the Seneta sequences, Acta Math. Sinica, Vol. 22, No. 3 (2006), 689-692. (doi: 10.1007/s10114-005-0684-4)

  12. D. Djurčić, Lj.D.R. Kočinac, M.R. Žižovic, Relations between Sequences and Selection Properties, Abstract and Applied Analysis, Volume 2007 (2007), Article ID 43081. (doi: 10.1155/2007/43081)

  13. D. Djurčić,Lj.D.R. Kočinac, M.R. Zizovic, 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. D. Djurčić, A. Torgasev, Some asymptotic relations for the generalized inverse, Journal of Mathematical Analysis and Applications, Vol. 335, No. 2 (2007), 1397-1402. (doi: 10.1016/j.jmaa.2007.02.039)

  15. D. Djurčić, Lj.D.R. Kočinac, M.R. Žižovic, On increasing rapidly varying seqeuences, Note di Matematica, Volume 27, No. 1 (2007), 55-63.

  16. D. Djurčić, Lj.D.R. Kočinac, M.R. Žižovic, Rapidly varying sequences and rapid convergence, Topology and its Applications, Vol. 155 (2008), 2143-2149. (doi: 10.1016/j.topol.2007.05.026)

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

  18. D. Djurčić, A. Torgašev, S. Ješić, The strong asymptotic equivalence and the generalized inverse, Siberian Mathematical Journal, Vol. 49, No. 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, Volume 2009 (2009), Article ID 360794, 6 pages. (doi: 10.1155/2009/360794)

  20. G. Di Maio, D. Djurčić, Lj.D.R. Kočinac, M.R. Žižovic, Statistical convergence, selection principles and asymptotic analysis, Chaos, Solitons and Fractals 42 (2009), 2815-2821. (doi: 10.1016/j.chaos.2009.04.033)

  21. D. Djurčić, Lj.D.R. Kočinac, M.R. Žižovic, 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. D. Djurčić, Lj.D.R. Kočinac, M.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. D. Djurčić, R. Nikolic, A. Torgašev, The weak asymptotic equivalence and the generalized inverse, Lithuanian Mathematical Journal, Vol. 50, No. 1 (2010), 34-42. (doi: 10.1007/s10986-010-9069-1)

  24. Dragan Djurčić, Ljubisa Kočinac and Malisa Zizovic, Summability of Sequences and Selection Properties, Abstract and Applied Analysis, Vol. 2011 (2011), Article ID 213816, 8 pages. (doi: 10.1155/2011/213816)

  25. D. Djurčić, Lj.D.R. Kočinac and Malisa Žižovic, Exponents of Convergence and Games, Advances in Dynamical Systems and Applications, Volume 6, Number 1 (2011), pages 41-48.

  26. D. Djurčić, I. Mitrovic, M. Janjic, The weak and the strong equivalence relation and the asymptotic inversion, Filomat 25:4 (2011), 29-36. (doi: 10.2298/FIL1104029D)

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

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

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

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

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

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

  34. A. Caserta, D. Djurčić, M.S. Mitrović, Selection principles and double sequences II, Hacettepe Journal of Mathematics and Statistics, vol. 43 (5) (2014), 725-730.

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

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

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

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

  39. N. Elez, D. Djurčić, Representation and characterization of rapidly varying functions, Hacettepe Journal of Mathematics and Statistics, Vol. 44, No. 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: Mathematical Analysis and Applications: Selected Topics (eISBN: 9781119414421, ISBN: 9781119414346), Eds. Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal, John Wiley & Sons, Inc., 2018, 429-491. (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. (http://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, tome 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, tome 110(124) (2021), 11–27. (doi: 10.2298/PIM2123011D)

  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, Volume 46(2) (2022), 259–265. (doi: 10.46793/KgJMat2202.259T)

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

  48. Dragan Pamucar, Mališa Žižović, Dragan Đuričić, Modification of the Critic Method Using Fuzzy Rough Numbers, Decision Making: Applications in Management and Engineering, Vol. 5, No. 2 (2022), 362-371. (doi: 10.31181/dmame0316102022p)

  49. Dragan Pamucar, Mališa Žižović, Dragan Đuričić, Modification of the Critic Method Using Fuzzy Rough Numbers, 1th 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: Advances in Mathematical Analysis and its Applications (ISBN: 978-1-032-35804-8 (hbk), ISBN: 978-1-032-36227-4 (pbk), eISBN: 978-1-003-33086-8), Eds. Bipan Hazarika, Santanu Acharjee, Hari M. Srivastava, CRC Press – Taylor & Francis Group, LLC, 2022. (doi: 10.1201/9781003330868)

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