Publications

Papers

  1. Krunić, Tanja; Nedeljkov, Marko, Shadow wave solutions for a scalar two-flux conservation law with Rankine–Hugoniot deficit, J. Hyperbolic Differ., https://dx.doi.org/10.1142/S021989162150017X prèprint

  2. Marković, Branko; Nedeljkov, Marko; A zero-noise limit to a symmetric system of conservation laws, Stoch. Anal. Appl. https://doi.org/10.1080/07362994.2021.1990778 pdf

  3. Ružičić, Sanja; Nedeljkov, Marko; Generalized solution to multidimensional cubic Schrödinger equation with delta potential, Acta Appl. Math. 171 (2021), Paper No. 10, 36 pp. pdf

  4. Nedeljkov, Marko; Admissibility of a solution to generalized Chaplygin gas, Theoret. Appl. Mech. 46 (2019), no. 1, 89-96. pdf

  5. Dugandžija, Nevena; Nedeljkov, Marko; Generalized solution to multidimensional cubic Schrödinger equation with delta potential, Monatsh. Math. 190 (2019), no. 3, 481--499. preprint

  6. Mohamed, Sana Mohamed Abdulwanis; Nedeljkov, Marko; Simplified chromatography model and inverse of split delta shocks, Appl. Math. Lett. 92 (2019), 49–53. preprint

  7. Nedeljkov, Marko; Oberguggenberger, Michael; Neumann, Lukas; Sahoo, Manas; Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions, Nonlinear Anal. 163 (2017), 104-126. preprint

  8. Nedeljkov, Marko; Ružičić, Sanja; On the Uniqueness of Solution to Generalized Chaplygin Gas, Discrete and Continuous Dynamical Systems 37 (2017), no. 8, 4439-4460. preprint

  9. Krunić, Tanja; Nedeljkov, Marko, Discrete shock profiles as solutions of conservation laws with discontinuous fluxes, Journal Of Mathematical Analysis and Applications 435 (2016), no. 1, 986-1010. prprint

  10. Atanacković, Teodor; Nedeljkov, Marko; Pilipović, Stevan; Rajter-Ćirić, Danijela, Dynamics of a fractional derivative type of a viscoelastic rod with random excitation, Fractional Calculus and Applied Analysis 18 (2015), no. 5, 986-1010. preprint

  11. Nedeljkov, Marko Higher order shadow waves and delta shock blow up in the Chaplygin gas. J. Diff. Equations 256 (2014), no. 11, 3859-3887. preprint

  12. Dedović, Nebojša; Nedeljkov, Marko Delta shocks interactions and the wave front tracking method. J. Math. Anal. Appl. 403 (2013), no. 2, 580–598. preprint

  13. Nedeljkov,Marko; Oberguggenberger, Michael Ordinary differential equations with delta function terms. Publ. Inst. Math. (Beograd) (N.S.) 91(105) (2012), 125–135. pdf

  14. Vladimir, Ćurić; Heiliö, Matti; Krejić, Nataša; Nedeljkov, Marko Mathematical model for efficient water flow management. Nonlinear Anal. Real World Appl. 11 (2010), no. 3, 1600–1612. pdf

  15. Nedeljkov, Marko Shadow waves: entropies and interactions for delta and singular shocks. Arch. Ration. Mech. Anal. 197 (2010), no. 2, 489–537. preprint

  16. Nedeljkov, Marko; Rajter-Ćirić, Danijela Generalized uniformly continuous semigroups and semilinear hyperbolic systems with regularized derivatives. Monatsh. Math. 160 (2010), no. 1, 81–93. preprint

  17. Nedeljkov, M.; Oberguggenberger, M. Interactions of delta shock waves in a strictly hyperbolic system of conservation laws. J. Math. Anal. Appl. 344 (2008), no. 2, 1143–1157. preprint

  18. Krejić, Nataša; Krunić, Tanja; Nedeljkov, Marko Numerical verification of delta shock waves for pressureless gas dynamics. J. Math. Anal. Appl. 345 (2008), no. 1, 243–257. preprint

  19. Nedeljkov, Marko Singular shock waves in interactions. Quart. Appl. Math. 66 (2008), no. 2, 281–302. preprint

  20. Mitrović, Darko; Nedeljkov, Marko Delta shock waves as a limit of shock waves. J. Hyperbolic Differ. Equ. 4 (2007), no. 4, 629–653. preprint

  21. Nedeljkov, Marko; Pilipović, Stevan Generalized function algebras and PDEs with singularities. A survey. Zb. Rad. (Beogr.) 11(19) (2006), 61–120. pdf

  22. Nedeljkov, M.; Pilipović, S.; Rajter-Ćirić, D. Heat equation with singular potential and singular data. Proc. Roy. Soc. Edinburgh Sect. A 135 (2005), no. 4, 863–886. preprint

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

  24. Nedeljkov, Marko Delta and singular delta locus for one-dimensional systems of conservation laws. Math. Methods Appl. Sci. 27 (2004), no. 8, 931–955. preprint

  25. Spasic, D.T.; Nedeljkov, M.; Milutinovic, M.; A note on airplane landing problem, Proceedings of the First IFAC workshop on Fractional Differentiation and Applications, Bordeaux, France (2004) 626-629. preprint

  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. preprint

  27. Nedeljkov, Markoi, Convolution equations in Colombeau's spaces, Novi Sad J. Math. 33 (2003), no. 2, 181–190. pdf

  28. Nedeljkov, Marko, Unbounded solutions to some systems of conservation laws—split delta shock waves. Proceedings of the 5th International Symposium on Mathematical Analysis and its Applications (Niška Banja, 2002), Mat. Vesnik 54 (2002), no. 3-4, 145–149. pdf

  29. Nedeljkov, M.; Pilipović, Sitevan, On hypoellipticity in G. Bull. Cl. Sci. Math. Nat. Sci. Math. 27 (2002), 47–56. pdf

  30. Nedeljkov, Marko; Rajter, Danijela A note on a one-dimensional nonlinear stochastic wave equation. Novi Sad J. Math. 32 (2002), no. 1, 73–83. pdf

  31. Nedeljkov, Marko; Rajter, Danijela Nonlinear stochastic wave equation with Colombeau generalized stochastic processes. Math. Models Methods Appl. Sci. 12 (2002), no. 5, 665–688. preprint

  32. Nedeljkov, Marko, Infinitely narrow soliton solutions to systems of conservation laws, Novi Sad J. Math. 31 (2001), no. 2, 59–68. pdf

  33. Nedeljkov, Marko; Rajter, Danijela, A note on nonlinear ordinary differential equations containing derivatives of the delta function, Novi Sad J. Math. 30 (2000), no. 1, 51–57. pdf

  34. Nedeljkov, Marko; Rajter,Danijela, Singular perturbations of ordinary differential equations in Colombeau spaces, Publ. Inst. Math. (Beograd) (N.S.) 68(82) (2000), 83–91. pdf

  35. Nedeljkov, M.; Pilipović, S. Hypoelliptic pseudodifferential operators in Colombeau's space. Bull. Cl. Sci. Math. Nat. Sci. Math. No. 23 (1998), 1–14. pdf

  36. Nedeljkov, M. Infinitely narrow soliton solutions to scalar conservation laws in Colombeau sense. Generalized functions—linear and nonlinear problems (Novi Sad, 1996). Integral Transform. Spec. Funct. 6 (1998), no. 1-4, 257–263.

  37. Nedeljkov, Marko; Pilipović, Stevan Generalized solution to a semilinear hyperbolic system with a non-Lipshitz nonlinearity. Monatsh. Math. 125 (1998), no. 3, 255–261.

  38. Nedeljkov, Marko; Pilipović, Stevan, Hypoelliptic differential operators with generalized constant coefficients. Proc. Edinburgh Math. Soc. (2) 41 (1998), no. 1, 47–60.

  39. Nedeljkov, Marko; Pilipović, Stevan, A note on a semilinear hyperbolic system with generalized functions as coefficients. Proceedings of the Second World Congress of Nonlinear Analysts, Part 1 (Athens, 1996). Nonlinear Anal. 30 (1997), no. 1, 41–46.

  40. Nedeljkov, Marko; Perišić, Dušanka; Pilipović, Stevan, Pseudodiffferential operators. Zb. Rad. (Beogr.) 7(15) (1997), 111–186. pdf

  41. Nedeljkov, Marko; Pilipović, Stevan Convergence in new generalized function spaces. Acta Sci. Math. (Szeged) 62 (1996), no. 1-2, 231–241. pdf

  42. Nedeljkov, Marko; Pilipović, Stevan; Scarpalézos, Dimitris Division problem and partial differential equations with constant coefficients in Colombeau's space of new generalized functions. Monatsh. Math. 122 (1996), no. 2, 157–170.

  43. Nedeljkov, M.; Pilipović, S. Paley-Wiener type theorems for Colombeau's generalized functions. J. Math. Anal. Appl. 195 (1995), no. 1, 108–122.

  44. Nedeljkov, Marko, Properties of the Laplace transformation in Colombeau's generalized function spaces, Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 23 (1993), no. 1, 107–119. pdf

  45. Nedeljkov, Marko, The Fourier transformation in some subspaces of Colombeau's generalized functions. Complex analysis and generalized functions (Varna, 1991), 219–228, Publ. House Bulgar. Acad. Sci., Sofia, 1993.

  46. Nedeljkov, Marko; Takači, Arpad; Ogrizović, Zorana, A note on the regularization of distributions, Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 22 (1992), no.1, 71–79. pdf

  47. Nedeljkov, Marko; Pilipović, Stevan, Convolution in Colombeau's spaces of generalized functions. II. The convolution in Ga, Publ. Inst. Math. (Beograd) (N.S.) 52(66) (1992),105–112. pdf

  48. Nedeljkov, Marko; Pilipović, Stevan, Convolution in Colombeau's spaces of generalized functions. I. The sace Ga and the a-integral, Publ. Inst. Math. (Beograd) (N.S.) 2(66) (1992), 95–104. pdf

    Monographs

  49. Nedeljkov, M.; Pilipović, S.; Scarpalézos, D. The linear theory of Colombeau generalized functions. Pitman Research Notes in Mathematics Series, 385. Longman, Harlow, 1998. x+156 pp.