Position Associate Professor
Address Mathematical Institute
Silesian University in Opava
Na Rybnicku 1
746 01 Opava, Czech Republic
Phone +420 553 684 664
Fax +420 553 684 680
E-mail

Curriculum

Research

Mathematical analysis, applied mathematics.

List of publications

  1. On complete solutions of delayed differential equations, PhD Thesis, Bratislava 1974, 40 pp. (Slovak)
  2. Pointwise completeness of functional differential equations, Habilitation Thesis, Bratislava 1979, 35 pp. (Slovak)
  3. A note on transformation of solutions of linear differential equations of the 1st order, Acta Fac. RNUC 9 (1964), 99-102. (Slovak) (MR 29#6085, Zblt. 213.11104)
  4. On zeros of solutions of a nonhomogenous delayed differential equation of the 2nd order, Acta Fac. RNUC 19 (1968), 187-189. (MR 41#7240, RZ 8B268 (1970), Zblt. 213.111)
  5. On zeros of solutions of the second-order linear differential equations with retardation, Acta Fac. RNUC 26 (1972), 53-55. (MR 46#9494, RZ 2B292 (1973), Zblt. 248.34072)
  6. Periodic solutions of a second-order non-linear differential equation, Acta Fac. RNUC 27 (1972), 19-25. (MR 47#8985, RZ 6B 195 (1973), Zblt. 251.34027)
  7. Existence of complete solutions of functional-differential equations, Casopis pest. matematiky 100 (1975), 261-263. (MR 52#14528, RZ 3B258 (1976), Zblt. 251.34070)
  8. On bilateral solutions of linear differential equations with lags, Acta Fac. RNUC 31 (1975), 121-126. (MR 52#6140, RZ 10B269 (1975), Zblt.314.34071)
  9. Asymptotical properties of solutions of delayed differential equations, Acta Fac. RNUC 34 (1979), 103-112. (MR 81h: 34084, RZ 10B294 (1980), Zblt. 429.34070)
  10. On a problem concerning a functional differential equation, Math. Slovaca 30 (1980), 239-242. (MR 81m: 34113, RZ 2B274 (1981) Zblt. 463.34043)
  11. Existence of complete solutions of linear differential equations with delays, Acta Math. Univ. Comen. 40-41 (1982), 189-193. (MR 84f: 34094, Zblt. 515.34060)
  12. (With J. Smital) Stability of nonchaotic difference equations, J. Math. Anal. Appl. 90 (1982), 1 - 11 (USA). (MR 84d: 58046, RZ 5B230 (1983), Zblt. 505.39004)
  13. On pointweise completeness on nonautonomous delayed differential equations, Acta Math. Univ. Comen. 42-43 (1983), 219-224. (MR 86b: 34141, Zblt. 603.34068)
  14. On influence of the number of trophical levels on the stability of community, Formation et Protection Naturae 8 (1983),135-143. (Slovak)
  15. On chaos in difference and differential-difference equations, in Equadiff 5, Teubner Verlag, Berlin 1981. (MR 84i: 00016, Zblt. 538.34040)
  16. Delay makes problems in population modelling, Proceedings of Equadiff 6, Brno 1985, 421-424. Springer, Berlin. (MR 89e:9203 Zblt.611.92023)
  17. Formally on ecological stability, Ekologia (CSSR) 5 (1986), 441-444.
  18. (With M. Kozova and A. Vizyova) Use of measures network connectivity in the evaluation of ecological landscape stability, Ekologia (CSSR) 5 (1986), 187 - 202.
  19. (With P. Sykora, Z. Foltynova) A kinetic model for plasmid curing, Plasmid 21 (1989), 85 - 98 (USA).

Monographs

  1. (With S. Sujan), Dynamical Models of Biological Communities, Veda, Bratislava, 1989, 155 pp. (Slovak)
  2. (With S. Sujan), A Mathematical Treatment of Dynamical Models in Biological Science, Ellis Horwood, London, 1991, xx + 183 pp, ISBN 0-13-221771-6. (MR 93g: 92031, Zblt. 751.92011)

Textbooks

  1. Mathematics for Sciences, UK Bratislava 1978, 150 pp. (2nd Ed. 1985, 3th Ed. 1991) (Slovak)
  2. (With P. Kostyrko) Querry on Sinus, Script for TV film, Bratislava 1980.
  3. (With M. Barnovska) Matematical Analysis III, UK Bratislava 1982, 150 pp. (2nd Ed. 1989). (Slovak)
  4. (With M. Barnovska) Matematical Analysis IV, UK Bratislava 1982, 150 pp. (2nd Ed. 1989). (Slovak)
  5. Applied Mathematics, Slovak Technical University, Bratislava 1988.