Publikacje / Publications

Papers in pending (or suspending)

  1. Entropy conjecture for nilmanifolds, Preprint UAM, No. 103/99..
  2. The spaces of positive oriented p-sumable functions and the Hardy spaces and their subalgebras;  notes - joint with E. Grzelaczyk.
  3. Entropy Conjecture for  continuous maps of nilmanifolds, accepted for publication in Israel Jour. Math. – joint with  F. Przytycki.
  4. Infinitely many non-radial sign-changing solutions for a quasilinear  problem in higher dimensions, accepted for publication in NoDEA (Nonlin. Diff. Equat. and Appl.), joint with A. Kristaly.
  5. Wecken property for periodic points on the Klein bottle, acceptedd for publication in Top. & Appl. , joint with  J. Jezierski. and E. Keppelmann.
  6. A decomposition formula for equivariant stable homotopy classes, accepted for publication in TMNA, joint with C. Prieto.

 

Papers already published

    48.  Estimates of the topological entropy from below for continuous self-maps on some compact manifolds, Discrete and Continuous Dynamical Systems - Series A,  21 (2008), 501-512, joint with  F. Przytycki.

    47. Homotopy minimal periods for maps of three dimensional solvmanifolds,  Top. & Appl. ,  155 (2008), 923-945,  joint with  J. Jezierski.  and E. Keppelmann

     

        46.  Periodic solutions   of symmetric autonomous Newtonian systems,  J. Diff. Equat.,  244 (2008), Issue 4,  916-944,  joint with   C. Prieto.  and    S.  Rybicki.

 

        45.  Periodic segment implies infinitely many periodic solutions,  Proc. Amer. Math. Soc., 135, (2007), 2637-2647, joint with K. Wójcik.

 

44. Positive oriented periodic solutions of the first order complex ODE  with polynomial nonlinear part,   Journal of   Inequalities and Applications,  2006 (2006),   Article ID 42908, 22pp, 231 - 231 - joint with A. Borisovich.   

 

43.  Fixed point indices of iterated planar maps, Folia Mathematica , 12, No 1,  (2005),  3-13, - joint with G. Graff.

 

42.  Computation of the first equivariant stem by a decomposition of equivariant stable homotopy classes,   Nonlinear Analysis, Vol 63, (4),  (2005),  513-524, - joint with C. Prieto.

 

41.   Symmetry Breaking Solutions of Nonlinear Elliptic Systems,  Topological Methods     in  Nonlinear Analysis,  Vol. 26, (2005), 189-201, - joint with J. Bracho and  M. Clapp.

 

40.  A symmetry of sphere map implies its chaos;    Bulletin of the Brazilian Mathematical  Society, (NS),  36 (2005), no. 2, 205-224, -  joint with J. Jezierski.

 

 39.  Homotopy minimal periods,    Handbook of Topological Fixed Point Theory,  Springer,   R.F. Brown, M. Furi, L. Górniewicz and B. Jiang (eds.), Dordrecht, (2005), 129-170.

 

38. Homotopy minimal periods for NR-solvmanifolds maps;   Topology and Applications, Volume 144, Issues 1-  3,  (2004) , 29-49,  - joint with   J. Jezierski.  and J. Kędra.

 

37.  The unstable equivariant fixed point index and the equivariant degree,   J. London Math. Soc,  Vol. 69 (2),  (2004), 214-230,. - joint with  C. Prieto.

 

36. Homotopical dynamics (a survey article);   Universitatis Iagiellonicae Acta Mathematica, FASC. XLI, (2003), 115-134.

 

35.  Periodic solutions of nonlinear problems with with holomorphic type of the nonlinearity; Topology Methods, Variational   Methods  and their Applications, Proc. ICM 2002 Satellite Conference on Nonlinear Functional Analysis, Taiyuan August 2002,  edited by H. Brezis, P. H. Rabinowitz,  Shuje Li,  Scientific World Publ., Singapore, 2003

 

34.  Homotopy minimal periods for maps of three dimensional nilmanifolds;  Pacific J. of Math., Vol. 209,  No.1, (2003), 85-101 - joint with  J. Jezierski..

 

33.  Generalized Lefschetz numbers of equivariant maps;  Osaka Journal of  Math., 39, (2002), 821-841 - joint with C. Prieto.

 

32.  Algorithm for deriving homotopy minimal periods of nilmanifold and solvmanifold map, Proc. of III-rd National Conference on Nonlinear Analysis, Lecture Notes of the Juliusz Schauder Center for Nonlinear Studies, Vol. 3, (2002), 109-130 - joint with R. Komendarczyk.

 

31. Homotopy minimal periods for nilmanifold maps, Mathematische Zeitschrift, 239, (2002), 381- 414 - joint with  J. Jezierski.

 

30. Periodic solutions of nonlinear problems with positive oriented periodic coefficients, Variational and Topological Methods in the Study of  Nonlinear Phenomena, Editors - Benci, Cerami, Degiovanni, Fortunato, Giannoni, and Micheletti, Birkhauser, Series - PNLDE, Vol. 49, (2002), 43-64.

 

29. Multiplicity of periodic solutions for the planar polynomial equation, Nonlinear Analysis, 43 (2001), 217-231 - joint with A. Borisovich .

 

28. The Borsuk-Ulam property for cyclic groups, Topological Methods in Nonlinear Analysis,  Vol. 16, (2000), 65-72 - joint with M. Izydorek

 

27. An asymptotic formula for the number of bifurcating solutions for the equation $-\Delta u=\mu f(u)$, Functiones et Approx., XXVIII, (2000), 195-200 - joint with W. Krawcewicz.

 

26. Essential equivariant maps and Borsuk-Ulam theorems, J. London Math. Soc., (2) 61 (2000), no. 3, 950-960. - joint with M. Clapp.

 

25. A multiplicity result for a system of real integral equations by use of the Nielsen number, Banach Center Publishing, Nielsen theory and Reidemeister Torsion, vol. 49, 1999, 9-18, - joint with  A. Borisovich ,  Z. Kucharski.

 

24. Finding periodic points of a map by use of a $k$-adic expansion, Discrete and Continuous Dynamical Systems, Vol. 5, No. 3, 1999, 495-514, - joint with M. Przygodzki.

 

23. A note on the minimal periods of a homeomorphism of compact surface, Universitatis Iagiellonicae Acta Mathematica, FASC. XXXVI, 1998, 115-119 .

 

22.  Equivariant category of the free part $G$-manifold and the sphere of spherical harmonics, Kodai Jour. Mathematics, vol. 20 No.2 (1997), 92-106.

 

21. Some applications of the Nielsen number to algebraic sets, Proceedings of the Conference: "Topological Methods in Nonlinear Analysis" - Gdańsk, December 95", GTN - Gdańsk Scientific Society, (1997), 78-90 - joint with  A. Borisovich , Z. Kucharski.

 

20. A remark on the multiplicity result for a class of nonlinear problems, Proceedings of the Conference: "Topological Methods in Nonlinear Analysis" - Gdańsk, December 95", GTN - Gdańsk Scientific Society, (1997), 91 -96 – joint with A. Borisovich , Z. Kucharski.

 

19. Finding periodic points of smooth mapping using Lefschetz numbers of its iterations, Izviestya Vuzov RRF, vol. 417, No 2, (1997), 86-96.

 

18. Bifurcation of the equivariant minimal interfaces in a hydromechanics problem, Abstract and Applied Analysis, vol. 1, No 3, (1996), 291-304 - joint with A. Borisovich .

 

17. Equivariant maps between cohomology spheres, Topological Methods in Nonlinear Analysis, vol. 5 No 2, (1995), 279-290 - joint with M. Izydorek

 

16. Fixed Point index for equivariant compact maps of $G$- ANR's, Applied Aspects of Global Analysis; New Development in Global Analysis series, Voronezh University Press, (1994), 74-90 - joint with W. Krawcewicz.

 

15. Nielsen number and lower estimate for the number of solutions to a certain system of nonlinear integral equations, Applied Aspects of Global Analysis; New Development in Global Analysis series, Voronezh University Press, (1994), 3 -11 - joint with A. Borisovich, Z. Kucharski .

 

14.  Borsuk-Ulam theorem for any compact Lie group,  Jour. of the London Math. Society, vol. 49, (1994), 95- 208.

 

13.  Global bifurcation of periodic solutions, Topological Methods in Nonlinear Analysis, 1 (1993), 67 - 93. - joint with K. Gęba.

 

12.  The existence of the linear slice for an orbit of representation in a Banach space, Commentationes Mathematicae, Vol. XXXIII (1993), 65 -72 -joint with J. Jodel .

 

 11. An S1-equivariant degree and the Fuller index, Ann. Math. Pol. L II. (1991), 243 - 280 - joint with G. Dylawerski, K. Gęba., J. Jodel ,.

 

10. An almost classification of compact Lie group with a Borsuk-Ulam property, Pacific J. of Math., Vol. 144, No. 2, (1990) 299 - 311.

 

9.  Some remarks on the Lusternik-Schnirelman method for non-differentiable functionals invariant with respect to a finite group action, the Rocky Mountain Jour. of Math., Vol. 20, N. 4, Fall 1990, 1041 - 1049 - joint with W. Krawcewicz.

 

8.  Lusternik-Schnirelman method for functionals invariant with respect to a finite group action, J. Diff. Equations, 85 (1990), 105 - 124 - joint with W. Krawcewicz.

 

7.  A G-Lusternik-Schnirelman category of space with an action of a compact Lie group, Topology 28, No. 4 (1989), 403-412.

 

6.  A Borsuk-Ulam theorem for orthogonal $T^k$ and $Z^k$ actions and applications, J. Math. An. and App., Vol. 137, No. 1, Jan. 1989, 99-121.

 

5.  Equivariant Morse inequalities, Mathematical Letters of Univ. of Gdańsk, Vol. 6, 1987, 55-60.

 

4.  Periodic solutions near an equilibrium of a differential equation with a first integral, Rend. Sem. Mat. Univ. Padova, Vol. 77, 1987, 193--206 - joint with A. Parusiński.

 

3.  On the nonlinear elliptic equations with symmetry,  Journal of Math. Anal. and Appl., Vol. 881, No. 1, 981, 156-181.

 

2.  The Lefschetz number in equivariant K-theory, Bull. de l' Acad. Polon. Sci., Vol XXV, No. 9, 1977, 901--906.

 

1.  A formula for G-Euler characteristic, Bull. de l'Acad. Polon. des Sci. , Vol. XXIII, No. 5, 1975, 565-570.

 

Books

 

 

e.       Elementarna teoria liczb,  (Elementary number theory), Wydawnictwo Naukowe PWN, (2006),  120 p., ISBN: 83-01-14855-1 (In Polish)- 

joint with P. Zarzycki.

    

  1. Homotopy Methods in Topological Fixed and Periodic Points Theory, Series: Topological Fixed Point Theory and Appl., Vol. 3 , Springer,     2005, XI, 319 p., ISBN: 1-4020-3930-1  - joint with   J. Jezierski

 

  1. Wstep do Analizy Nieliniowej, - cześć pierwsza: Teoria Stopnia, Scientific Publishing of the Adam Mickiewicz University of Poznań, Poznań,  2003  (in Polish) – joint with J. Gulgowski.

  1. Elementy Teorii Liczb, (Elements of Number Theory), Scientific Publishing of the Adam Mickiewicz University of Poznań, Poznań , 1999 (in Polish), an improved version of  Elementy Teorii Liczb, 1985 - joint with P. Zarzycki.

  1. Elementy Teorii Liczb (Elements of Number Theory), Univ. of Gdańsk Press, Gdańsk, 1985 (in Polish) - joint with P. Zarzycki.

  

 

 

 

 

 

 

 

 

 

Data ostatniej aktualizacji: Wednesday, May 21 2008 , 16:05:36