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Exponential Sequence in the Operational Calculus Model for the nTH-Order Forward Difference Cover

Exponential Sequence in the Operational Calculus Model for the nTH-Order Forward Difference

By: Hubert Wysocki  
Open Access
|Jun 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] Bittner R., Mieloszyk E., About eigenvalues of differential equations in the operational calculus, ‘Zeszyty Naukowe Politechniki Gdańskiej. Matematyka XI’, 1978, 285, pp. 87–99.
  6. [6] Mieloszyk E., Example of operational calculus, ‘Zeszyty Naukowe Politechniki Gdańskiej. Matematyka XIII’, 1985, 383, pp. 151–157.
  7. [7] Mikusiński J., Operational Calculus, Pergamon Press, London 1959.
  8. [8] Wysocki H., The result derivative, distributive results, ‘Acta Math. Hungarica’, 1989, 53(3–4), pp. 289–307.10.1007/BF01953369
  9. [9] Wysocki H., An operational calculus model for the nthorder forward difference, ‘Zeszyty Naukowe Akademii Marynarki Wojennej — Scientific Journal of PNA’, 2017, 3(210), pp. 107–117.
Language: English
Page range: 35 - 47
Submitted on: Mar 14, 2019
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Accepted on: Jun 19, 2019
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Published on: Jun 28, 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.