INSTYTUT MATEMATYKI
Uniwersytet Śląski
40-007 Katowice, ul. Bankowa 14

tel/fax 32 258 2976
e-mail:im@ux2.math.us.edu.pl


                  Justyna Sikorska – Spis publikacji


Monografia:

Monografia

Norm Derivatives and Characterizations of Inner Product Spaces
(wspólnie z Claudim Alsiną i M. Santos Tomás),
World Scientific Publishing Co., New Jersey - London - Singapore, 2010.

Artykuły:

  1. Stability of the orthogonal additivity, Bulletin of the Polish Academy of Sciences, Mathematics 43 (1995), no. 2, 143-151 (wspólnie z Romanem Gerem).

  2. On the Cauchy equation on spheres, Annales Mathematicae Silesianae 11 (1997), 89-99 (wspólnie z Romanem Gerem).

  3. Differentiable solutions of a functional equation related to the non-power means, Aequationes Mathematicae 55 (1998), 146-152.

  4. Note on a functional equation related to the power means, Mathematica Pannonica 11/2 (2000), 199-204. 

  5. Orthogonal stability of the Cauchy equation on balls, Demonstratio Mathematica 33/3 (2000), 527-546.

  6. On a functional equation related to power means, Aequationes Mathematicae 66 (2003), no. 3, 261-276.

  7. Orthogonal stability of the Cauchy functional equation on balls in normed linear spaces, Demonstratio Math. 37 (2004), no. 3, 579-596.

  8. On mappings preserving equilateral triangles, Journal of Geometry 80 (2004), no. 1-2, 209-218  (wspólnie z Tomaszem Szostokiem).

  9. Stability of the preservation of the equality of distance, Journal of Mathematical Analysis and Applications 311 (2005), 209-217.

  10. Generalized orthogonal stability of some functional equations,  Journal of Inequalities and Applications 2006, Art. ID 12404, 23 pp.

  11. On a functional equation based upon a result of Gaspard Monge, Journal of Geometry 85 (2006), 1-6 (wspólnie z Claudim Alsiną i Maciejem Sablikiem).

  12. On mappings preserving equilateral triangles in normed spaces, Journal of Geometry 85 (2006), 149-156 (wspólnie z Tomaszem Szostokiem).

  13. On the equation of the ρ-orthogonal additivity, Commentationes Mathematicae 47 (2) (2007), 171-178  (wspólnie z Claudim Alsiną i M. Santos Tomás).

  14. Sandwich theorems for orthogonally additive functions, Inequalities and Applications, International Series of Numerical Mathematics, vol.157 (2008), 269-281 (wspólnie z Włodzimierzem Fechnerem).

  15. Generalized stability of the Cauchy and Jensen functional equations on spheres, Journal of Mathematical Analysis and Applications 345 (2008), 650-660.

  16. On two conditional Pexider functional equations and their stabilities, Nonlinear Analysis 70 (2009), 2673-2684.

  17. On a pexiderized conditional exponential functional equation, Acta Mathematica Hungarica  125 (3) (2009), 287-299.

  18. Exponential functional equation on spheres, Applied Mathematics Letters 23 (2) (2010), 156-160.

  19. On a conditional exponential functional equation and its stability, Nonlinear Analysis 72 (2010), 2923-2934 (wspólnie z Januszem Brzdękiem).

  20. On the stability of orthogonal additivity, Bulletin of the Polish Academy of Sciences (Mathematics) 58 (2010), 23-30 (z Włodzimierzem Fechnerem).

  21. On a direct method for proving the Hyers-Ulam stability of functional equations, Journal of Mathematical Analysis and Applications 372 (2010), 99-109.

  22. Variations on the Drygas equation and its stability, Nonlinear Analysis 74 (2011), 343-350 (wspólnie z Gian Luigim Fortim).

  23. On a Jensen-Hosszú equation, II, Mathematical Inequalities and Applications 15 (2012), 61-67  (wspólnie z Zygfrydem Kominkiem).

  24. On a separation for the Cauchy equation on spheres, Nonlinear Analysis 75 (2012), 6306-6311 (wspólnie z Włodzimierzem Fechnerem).

  25. Hyperstability of the Fréchet equation and a characterization of inner product spaces, Journal of Function Spaces and Applications, Volume 2013 (2013), Article ID 496361, 6 pp. (wspólnie z Anną Bahyrycz, Januszem Brzdękiem, Magdaleną Piszczek).

  26. Orthogonalities and functional equations, Aequationes Mathematicae 89 (2015), 215-277.

  27. Recent developments of the conditional stability of the homomorphism equation, Banach Journal of Mathematical Analysis 9/3 (2015), 278-327 (wspólnie z Januszem Brzdękiem, Włodzimierzem Fechnerem i Mohammadem S. Moslehianem).

  28. Set-valued orthogonal additivity, Set-Valued and Variational Analysis 23 (2015), 547-557.

  29. Alienation of the logarithmic and exponential functional equations, Aequationes Mathematicae 90 (2016), no. 1, 107-121 (wspólnie z Zygfrydem Kominkiem).

  30. A singular behaviour of a set-valued approximate orthogonal additivity, Results in Mathematics 70 (2016), no. 1-2, 163-172.

  31. On an equation of Sophie Germain, Results in Mathematics (2018) 73: 60 (wspólnie z Radosławem Łukasikiem i Tomaszem Szostokiem).

  32. On a method of solving some functional equations for set-valued functions, Set-Valued and Variational Analysis 27 (2019), 295-304.

  33. On a class of abstract convex cone valued functional equations, Aequationes Math. 94 (2020), 535–545.

  34. Alienation and the stability problem, Results Math 75, 98 (2020).

  35. On a ρ-orthogonally additive mappings, Results Math 75, 108 (2020) (wspólnie z Jackiem Chmielińskim i Pawłem Wójcikiem).

  36. On a general bilinear functional equation, Aequationes Math. 95 (2021), 1257-1279 (wspólnie z Anną Bahyrycz).

  37. On stability of a general bilinear functional equation, Results Math 76, 143 (2021) (wspólnie z Anną Bahyrycz).

  38. On a General n-Linear Functional Equation, Results Math 77, 128 (2022) (wspólnie z Anną Bahyrycz).

  39. On Stability of a General n-Linear Functional Equation, Symmetry 15, 19 (2023) (wspólnie z Anną Bahyrycz).

  40. On even orthogonally additive mappings in orthogonality spaces, Aequationes Math. 97 (2023), 89–111 (wspólnie z Adolfem Schleiermacherem).


Skrypt:

Zbiór zadań z matematyki dla studentów chemii

Zbiór zadań z matematyki dla studentów chemii,
Uniwersytet Śląski, Katowice 2002;
drugie wydanie: 2004,
trzecie wydanie: 2007,
czwarte wydanie: 2010,
piąte wydanie: 2013.




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