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Dr. Marko Nedeljkov

Curriculum Vitae

April 10, 2008

PERSONAL DATA

LANGUAGES

  • Mother tongue: Serbian

  • Active knowledge: English, basics of German

  • Reading knowledge other Slavic languages

EDUCATION

  • B.S., Faculty of Science, Novi Sad, Yugoslavia, April 1990.

  • M.S., Faculty of Science, Novi Sad, Yugoslavia, February 1993. Convolution and Integral Transformations in Colombeau Spaces (in Serbocroatian), supervised by Stevan Pilipović.

  • Ph. D., Faculty of Science, Novi Sad, Yugoslavia, January 1995, Colombeau Generalized Functions and PDE'ť (in Serbocratian), supervised by: Stevan Pilipović.

EXPERIENCE

  • Assistant, Faculty of Science, Novi Sad, Yugoslavia, since 1990.

  • Assistant Professor, Faculty of Science, Novi Sad, Yugoslavia, since 1995.

  • Associate Professor, Faculty of Science, Novi Sad, Yugoslavia, since 2000.

PUBLICATIONS

  1. M. Nedeljkov, A. Takači, Z. Ogrizović, On Regularization of Distributions, Univ. u Novom Sadu Zbor. Rad. Prirod.-Mat. Fak. Ser. Mat., 22, 1 (1992), 71-81.

  2. M. Nedeljkov, S. Pilipović, Convolution in Colombeau's Spaces of Generalized Functions, Part I, Publ. Inst. de Math., Beograd, 52 (66) (1992), 95-105.

  3. M. Nedeljkov, S. Pilipović, Convolution in Colombeau's Spaces of Generalized Functions, Part II, Publ. Inst. de Math., Beograd, 52 (66) (1992), 105-113.

  4. M. Nedeljkov, The Fourier transformation in some subspaces of Colombeau's generalized functions, Complex Analysis and Generalized Functions, Varna 1991, 219-228.

  5. M. Nedeljkov, Properties of the Laplace transformation in Colombeau's generalized function spaces, Univ. u Novom Sadu Zbor. Rad. Prirod.-Mat. Fak. Ser. Mat., 23, 1 (1993), 107-119.

  6. M. Nedeljkov, Convolution and Integral Transformations in Colombeau Spaces, Master Thesis (in Serbocroatian), Novi Sad 1993.

  7. M. Nedeljkov, Convolution Equations in Colombeau's Spaces, Novi Sad J. Math.33,1 (2003), 181-190.

  8. M. Nedeljkov, S. Pilipović, Paley-Wiener type theorems in Colombeau's spaces, J. Math. Anal. Appl., 195 (1995), 108-122.

  9. M. Nedeljkov, Colombeau Generalized Functions and PDE's, PhD Thesis (in Serbocroatian), Novi Sad 1995.

  10. M. Nedeljkov, D. Perišić, S. Pilipović, Pseudodifferential Operators, In: Three Topics from Contemporary Mathematics, SANU, Belgrad, 1997, 111-186.

  11. M. Nedeljkov, S. Pilipović, D. Scarpalézos, Division problem and partial differential equations with constant coefficients in Colombeau's space of new generalized functions, Mh. Math. 122, No.2, 157-170 (1996).

  12. M. Nedeljkov, S. Pilipović, Convergence in new generalized function spaces, Acta Sci. Math. (Szeged) 62, No.1-2, 231-241 (1996).

  13. M. Nedeljkov, S. Pilipović, A note on a semilinear hyperbolic system with generalized functions as coefficients, Nonlinear Anal., Theory Methods Appl. 30, No. 1, 41-46 (1997).

  14. M. Nedeljkov, S. Pilipović, Hypoelliptic differential operators with generalized constant coefficcients, Proc. Edinb. Math. Soc. 41, 47-60 (1998).

  15. M. Nedeljkov, Infinitely narrow soliton solutions to scalar conservation laws in Colombeau sense, Integral Transforms and Special Functions, Vol. 6, No.1-4, 257-263 (1998).

  16. M. Nedeljkov, S. Pilipović, Generalized solution to a semilinear hyperbolic system with a non-Lipshitz nonlinearity, Mh. Math. 125, 255-261 (1998).

  17. M. Nedeljkov, S. Pilipović, Hypoelliptic pseudodifferential operators in Colombeau's space, to appear in Bull. Serbian Acad. Sci. (1998).

  18. M. Nedeljkov, S. Pilipović, D. Scarpalézos, Linear Theory of Colombeau Generalized Functions, Pitman Res. Not. Math. 385, Longman Sci. Techn., Essex, 1998.

  19. M. Nedeljkov, D. Rajter, Singular perturbations of ordinary differential equations in Colombeau algebra, Publ. Inst. Math. Belgrad 68(82), 83-81 (2000).

  20. M. Nedeljkov, D. Rajter, A note on nonlinear ordinary differential equations containig delta functions, Novi Sad J. Math. Vol. 30, No. 1, 51-57 (1999).

  21. M. Nedeljkov, Infinitely narrow soliton solutions to systems of conservation laws, Novi Sad J. Math. Vol. 31, No. 2, 59-68 (2001)

  22. M. Nedeljkov, D. Rajter, A note on one-dimensional stochastic wave equation, Novi Sad J. Math. Novi Sad J. Math., Vol. 32, No. 1, 73-83 (2002).

  23. M. Nedeljkov, D. Rajter, Nonlinear stochastic wave equations with Colombeau generalized stochastic processes, Math. Mod. Met. Appl. Sci., Vol. 12, No. 5, 665-688 (2002).

  24. M. Nedeljkov, S. Pilipović, On hypoellipticity in G, Bull. Serbian Acad. Sci., Vol. CXXIII, No. 27, 47-56 (2002).

  25. M. Nedeljkov, Unbounded solutions to some systems of conservation laws - split delta shocks waves, Mat. Ves., 54, 3-4, 145-149 (2002).

  26. M. Nedeljkov, D. Rajter, Semigroups and PDEs with perturbations, in: Non Linear Algebraic Analysis, Proceedings of the International Conference on Generalized Functions ICGF2000 (April 16-21, 2000 ; Pointe a Pitre), Ed: A. Delcroix, M. Hasler, J-A Marti, V. Valmorin, Taylor & Fransis, London, 2004 (older version: pdf-file (143kb)).

  27. M. Nedeljkov, Delta and singular delta locus for one dimensional systems of conservation laws, Math. Method Appl. Sci. 27, 8, 931-955 (2004).

  28. M. Nedeljkov, M. Oberguggenberger, S. Pilipović, Generalized solutions to a semilinear wave equation, Nonlinear Anal. 61 no. 3, 461-475 (2005).

  29. M. Nedeljkov, S. Pilipović, D. Rajter, Heat equation with singular potential and singular data, P. Roy. Soc. Edinb. A. 135, 863-886 (2005).

  30. M. Nedeljkov, S. Pilipović,Generalized function algebras and PDEs with singularities. A survey. Zb. Rad. (Beogr.) 11(19), 61-120. (2006).

  31. D. Mitrović, M. Nedeljkov, Delta shock waves as a limit of shock waves. J. Hyperbolic Differ. Equ. 4, no. 4, 629-653. (2007).

  32. M. Nedeljkov, Singular shock waves in interactions. Q. Appl. Math. to appear (2008).

  33. M. Nedeljkov, M. Oberguggenberger, Interactions of delta shock waves in a strictly hyperbolic system of conservation laws, J. Math. Anal. Appl. to appear (2008).

  34. N. Krejić, T. Nedić, M. Nedeljkov, Numerical verification of delta shock waves for pressureless gas dynamics, J. Math. Anal. Appl. to appear (2008).

PREPRINTS

  1. M. Nedeljkov, S. Pilipović, Approximated solutions to the Dirichlet problems. pdf-file (235kb)

  2. M. Nedeljkov, M. Oberguggenberger, Ordinary differential equations and delta functions. pdf-file (150kb)

  3. M. Nedeljkov, Second delta locus - interaction of delta shock with shock waves. pdf-file (227kb)

  4. M. Nedeljkov, Entropies and delta (singular) shocks pdf-file (280kb)

CONGRESSES ANDCONFERENCESPARTICIPATED

  1. Complex Analysis and Generalized Function, Varna, Bulgaria, September 1991

  2. X Kongres Matematicara Jugoslavije, Petrovac, Maj 1995

  3. Nonlinear Analysis and Applications, Athens, June 1996

  4. GF96, Novi Sad, August 1996.

  5. ICGF 2000, Point-A-Pitre, Guadeloupe, April 2000.

  6. MAA5, Niška Banja, October, 2-6, 2002.

  7. International Workshop for Study of Technomathematics, Dresden, September 11-13, 2003.

  8. GF2004, Novi Sad, September 2004.

CONGRESSES AND CONFERENCES ORGANIZED

  1. A member of the Organizing Comitee of "Generalized Functions 96", Novi Sad.

  2. A member of the Organizing Comitee of DAAD Winter School "Generalized Functions and PDE's with Singularities", Novi Sad, 2003.

  3. A member of the Organizing Comitee of GF 2004, Novi Sad.

INVITED LECTURES

  1. Edwin Schroedinger Institute, Wien, October, 1997.

  2. Edwin Schroedinger Institute, Wien, December, 1999.

  3. Mathematical Institute of SANU, Beograd, 2003.

  4. Institut für Technische Mathematik, Gemetrie und Bauinformatik, Innsbruck, May, 2003.

VISITS TO ANOTHER UNIVERSITIES AND INSTITUTES

  1. Institut für Mathematik und Gemetrie, Innsbruck, November 1994

  2. CIME Summer School on Viscosity Solutions, Montecatini Terme (Florence), 1995

  3. Institut für Mathematik und Gemetrie, Innsbruck, from September to October 1997, and from January to March 1998 (OÄD stipend)

  4. Edwin Schroedinger Institute, Wien, from November to December 1997 and in December 1999 (ESI project (M. Obeguggenberger))

  5. Institut für Technische Mathematik, Gemetrie und Bauinformatik, Innsbruck, from October 2000 to January 2001 (OÄD stipend)

  6. CIME Course on Balance laws, Cetraro, 2003