Publications

Articles

  1. Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak, Compactness in Lipschitz spaces and around, Studia Math. 272 (2023), no. 1, 81-112.
  2. Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak, Compactness in normed spaces: a unified approach through semi-norms, Topol. Methods Nonlinear Anal. 62 (2023), no. 1, 105-134.
  3. Simon Reinwand, Piotr Kasprzak, Multiplication operators in BV spaces, Ann. Mat. Pura Appl. 202 (2023), 787–826.
  4. Piotr Kasprzak, Characterization of compact linear integral operators in the space of functions of bounded variation , Annales Fennici Mathematici 46 (2021), 795-818.
  5. Piotr Kasprzak, Adam Nawrocki, Justyna Signerska-Rynkowska, Integrate-and-fire models with an almost periodic input function, Journal of Differential Equations 264 (2018), 2495-2537.
  6. Daria Bugajewska, Gennaro Infante, Piotr Kasprzak, Solvability of Hammerstein integral equations with applications to boundary value problems, Z. Anal. Anwend. 36 (2017), no. 4, 393–417.
  7. Dariusz Bugajewski, Jacek Gulgowski, Piotr Kasprzak, On integral operators and nonlinear integral equations in the spaces of functions of bounded variation, J. Math. Anal. Appl. 444 (2016), 230-250.
  8. Daria Bugajewska, Dariusz Bugajewski, Piotr Kasprzak, Piotr Maćkowiak, Nonautonomous superposition operators in the spaces of functions of bounded variation, Topol. Methods Nonlinear Anal. 48 (2016), no. 2, 637-660.
  9. Dariusz Bugajewski, Jacek Gulgowski, Piotr Kasprzak, On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation, Ann. Mat. Pura Appl. 195 (2016), 1513-1530.
  10. Piotr Kasprzak, Piotr Maćkowiak, Local boundedness of nonautonomous superposition operators in BV[0,1], Bull. Aust. Math. Soc. 92 (2015), 325-341.
  11. Dariusz Bugajewski, Piotr Kasprzak, Leggett-Williams type theorems with applications to nonlinear differential and integral equations, Nonlinear Anal. 114 (2015), 116-132.
  12. Daria Bugajewska, Piotr Kasprzak, On bounded lower Λ-variation, J. Math. Anal. Appl. 432 (2015), 561-593.
  13. Dariusz Bugajewski, Xiao-Xiong Gan, Piotr Kasprzak, Mappings of higher order and nonlinear equations in some spaces of almost periodic functions, Nonlinear Anal. 75 (2012), no. 13, 5294-5310.
  14. Dariusz Bugajewski, Piotr Kasprzak, On mappings of higher order and their applications to nonlinear equations, Commun. Pure Appl. Anal 11 (2012), no. 2, 627-647.
  15. Daria Bugajewska, Piotr Kasprzak, On the Existence Uniqueness and Topological Structure of Solution Sets to a Certain Fractional Differential Equation, Comput. Math. Appl. 59 (2010), 1108-1116.
  16. Dariusz Bugajewski, Piotr Kasprzak, Fixed point theorems for weakly F-contractive and strongly F-expansive mappings, J. Math. Anal. Appl. 359 (2009), 126-134.

Monographs

  1. Jurgen Appell, Daria Bugajewska, Piotr Kasprzak, Simon Reinwand, BV type spaces with applications, Lecture Notes in Nonlinear Analysis, vol. 20, Wydawnictwo Naukowe Uniwersytetu Mikołaja Kopernika, Toruń, 2021, ISBN 978-83-231-4699-5.
  2. Marcin Borkowski, Daria Bugajewska, Piotr Kasprzak, Selected topics in nonlinear analysis, Lecture Notes in Nonlinear Analysis, vol. 19, Wydawnictwo Naukowe Uniwersytetu Mikołaja Kopernika, Toruń, 2021, ISBN 978-83-231-4656-8.