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A Generalization of Difference Models of the Bittner Operational Calculus Cover

A Generalization of Difference Models of the Bittner Operational Calculus

By: Hubert Wysocki  
Open Access
|Dec 2019

References

  1. [1] Bittner R., On certain axiomatics for the operational calculus, ‘Bull. Acad. Polon. Sci.’, Cl. III, 1959, 7(1), pp. 1–9.
  2. [2] Bittner R., Operational calculus in linear spaces, ‘Studia Math.’, 1961, 20, pp. 1–18.10.4064/sm-20-1-1-18
  3. [3] Bittner R., Algebraic and analytic properties of solutions of abstract differential equations, ‘Rozprawy Matematyczne’ [‘Dissertationes Math.’], 42, PWN, Warszawa 1964.
  4. [4] Bittner R., Rachunek operatorów w przestrzeniach liniowych, PWN, Warszawa 1974 [Operational Calculus in Linear Spaces — available in Polish].
  5. [5] Elaydi S., An Introduction to Difference Equations, Springer Sci. and Business Media, New York 2005.
  6. [6] Mickens R. E., Difference Equations: Theory, Applications and Advanced Topics, Chapman & Hall/CRC Press, Boca Raton 2005.
  7. [7] Mikusiński J., Operational Calculus, Pergamon Press 1959.
  8. [8] Wysocki H., The operational calculus model for the nth-order backward difference, ‘Zeszyty Naukowe Akademii Marynarki Wojennej — Scientific Journal of PNA’, 2015, 3(202), pp. 75–88.10.5604/0860889X.1178573
  9. [9] Wysocki H., An operational calculus model for the nth-order forward difference, ‘Zeszyty Naukowe Akademii Marynarki Wojennej — Scientific Journal of PNA’, 2017, 3(210), pp. 107–117.10.5604/01.3001.0010.6593
  10. [10] Wysocki H., An operational calculus model for the central difference and exponential-trigonometric and hyperbolic Fibonacci sequences, ‘Scientific Journal of Polish Naval Academy — Zeszyty Naukowe AMW’, 2018, 3(214), pp. 39–62.10.2478/sjpna-2018-0018
Language: English
Page range: 41 - 52
Submitted on: Oct 18, 2019
Accepted on: Dec 18, 2019
Published on: Dec 31, 2019
Published by: Polish Naval Academy
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2019 Hubert Wysocki, published by Polish Naval Academy
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.