<abstract xmlns="http://www.w3.org/1999/xhtml">The paper determines a non-classical Bittner operational calculus model, in which the derivative is understood as an -symmetric difference <italic>Dm,n</italic>{<italic>x</italic> (<italic>k</italic>)} := {<italic>x</italic> (<italic>k</italic>+<italic>m</italic>)− <italic>x</italic> (<italic>k</italic>− <italic>n</italic>). By considering an operation <italic>Dm,n,b</italic>{<italic>x</italic> (<italic>k</italic>)} := {<italic>x</italic> (<italic>k</italic>+<italic>m</italic>)− <italic>b</italic> (<italic>k</italic>)<italic>x</italic> (<italic>k</italic>− <italic>n</italic>), the formulated model has been generalized.</abstract>

The paper determines a non-classical Bittner operational calculus model, in which the derivative is understood as an -symmetric difference Dm,n{x (k)} := {x (k+m)− x (k− n). By considering an operation Dm,n,b{x (k)} := {x (k+m)− b (k)x (k− n), the formulated model has been generalized.

An Operational Calculus Model with the (<italic>m,n</italic>) - Symmetric Difference

Maritime Technical Journal

This work is licensed under the Creative Commons Attribution 4.0 International License.

An Operational Calculus Model with the () - Symmetric Difference

The paper determines a non-classical Bittner operational calculus model, in which the derivative is understood as an -symmetric difference Dm,n{x (k)} := {x...

An Operational Calculus Model with the (m,n) - Symmetric Difference

Published Online: Dec 31, 2020

Page range: 67 - 82

DOI: https://doi.org/10.2478/sjpna-2020-0016

Keywords
operational calculus, derivative, integrals, limit conditions, () -symmetric difference

© 2020 Hubert Wysocki, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

An Operational Calculus Model with the (m,n) - Symmetric Difference

Published Online: Dec 31, 2020

Page range: 67 - 82

DOI: https://doi.org/10.2478/sjpna-2020-0016

Keywordsoperational calculus, derivative, integrals, limit conditions, () -symmetric difference

© 2020 Hubert Wysocki, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
operational calculus, derivative, integrals, limit conditions, () -symmetric difference