INSTYTUT MATEMATYKI
Uniwersytet ¦l±ski
40-007 Katowice, ul. Bankowa 14

tel/fax (032) 2582976
e-mail:im@ux2.math.us.edu.pl



JAN LIGĘZA – SCIENTIFIC PUBLICATIONS

  1. On generalized solutions of linear differential equations of order n, Prace Naukowe Uniwersytetu ¦l±skiego w Katowicach, Prace Matematyczne 3 (1973), 101-108.
  2. On generalized solutions of boundary value problem for linear differential equations of order II, ibidem, 4 (1973), 53-63.
  3. On generalized solutions of some systems of nonlinear differential equations, ibidem, 5 (1974), 23-51.
  4. On an integral inequality, ibidem, 7 (1977), 22-27.
  5. On generalized solutions of boundary value problem for nonlinear differential equations of order II, ibidem, 9 (1979), 20-28.
  6. On generalized solutions of some nonlinear differential equations of order n, Annal. Polon. Math., 31 (1975), 115-120.
  7. On generalized solutions of periodic linear differential equations of order n, ibidem, 33 (1977), 209-218.
  8. Cauchy’s problem for systems of linear differential equations with distributional coefficients, Colloq. Math., 33 (1975), 295-305.
  9. On distributional solutions of some systems of nonlinear differential equations, Časopismo pro pestovani mat., 102 (1977), 30-36.
  10. On distributional solutions of some systems of linear differential equations, ibidem, 12 (1977), 37-41.
  11. Controllability and minimum energy control of linear systems, Podstawy sterowania, 6 (1976), 211-217, co-authors: T. Dłotko, J. Klamka.
  12. The products of measures and functions of locally bounded variation, Generalized functions and operational calcus, Sofia 1979, 20-26, co-author: P. Antosik.
  13. Remarks on generalized solutions of ordinary differential equations, Functional – differential systems and related topics I, Zielona Góra, 1980, 217-222.
  14. On generalized solutions of linear differential equations of second order, Functional – differential systems and related topics II, Zielona Góra 1981, 195-201.
  15. Weak solutions of ordinary differential equations, Prace Naukowe Uniwersytetu ¦l±skiego w Katowicach, 842 (1986).
  16. On generalized solutions of some differential equations, Annal. Math. Sil., 3 (15), 1990, 72-81.
  17. The distributional solutions of some systems of linear differential equations, ibidem, 3 (15) 1990, 82-90.
  18. Applications of the smooth integral in the theory of weak solutions of ordinary differential equations, Čas. pro pest. mat. 114 (1989), 113-132.
  19. Existence and uniqueness of distributional solutions of ordinary differential equations in the class of regulated functions, 7th Czech. Conf. on Diff. Equat. and Their Applications, Enlarged abstract (O.D.E.), Praha 1989, 48-50.
  20. Product of measures and regulated functions, Generalized functions and convergence, World Scien. Publ. Camp., Singapure – New Jersey – London – Hong-Kong 1990, 175-179.
  21. Generalized solutions of ordinary linear differential equations in the Colombeau algebra, Math. Bohemica, 2 (1993), 123-146.
  22. Generalized solutions of boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra, Different Aspect of Differentiability, Dissertationes Mathematicae 340 (1995), 183-194.
  23. Periodic solutions of ordinary linear differential equations of second order in the Colombeau algebra, Integral Transforms and Special Functions, V.4.N.1-2, (1996), 121-140.
  24. Remarks on generalized solutions of some ordinary nonlinear differential equations of second order in the Colombeau algebra, Ann. Math. Silesianae 10, Katowice, 1996, 87-101.
  25. On some boundary value problems for ordinary linear differential equations of second order in the Colombeau algebra, Acta Univ. Palacki, Olomouc, Fac. rer. nat., Math. 35 (1996), 103-119.
  26. Generalized periodic solutions of ordinary linear differential equations in the Colombeau algebra, Annales Math. Silesianae, 11 (1997), 67-87.
  27. Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra, Math. Bohemica, 123 (1998), 301-316.
  28. On systems of linear algebraic equations in the Colombeau algebra, ibidem, 124 (1999), 1-14.
  29. Boudary value problems for ordinary linear differential equations in the Colombeau algebra, Acta Univ. Palacki, Olomouc, Fac. rer. nat., Math. 38 (1999), 95-112.
  30. Two point boundary value problems for linear third order differential equations in the Colombeau algebra, ibidem, 39 (2000), 107-121.
  31. On two points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra, ibidem, 41 (2002), 89-103.
  32. On a two points boundary value problem for linear differential equations of the fourth order in the Colobeau algebra, Annales Math. Silesianae, 15 (2001), 45-66.
  33. Existence of positive solutions of some integral equations, ibidem, 18 (2004), 21-38.
  34. Remarks on existence of positive solutions of some integral equations, Acta Univ. Palacki, Olomouc. Fac. rer. nat., Math. 44 (2005), 71-82.
  35. On the existence of one-signed periodic solutions of some differential equations of second order, ibidem, 45 (2006), 119-134.
  36. Z żałobnej karty, Tadeusz Dłotko, 1930-2005, Roczniki Polskiego Towarzystwa Matematycznego, XLIII (2007), 163-171.
  37. Existence of positive periodic solutions of some differential equations of order n (n ≥2), Annales Mathematicae Silesianae 23 (2009), 61—81.

Katowice, November 2012.


[HOMEPAGE]  [CV]   [ZAKŁAD RÓWNAŃ RÓŻNICZKOWYCH]