<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Generalized solution of a Cauchy problem given by a nonhomogeneous linear differential system is recovered to this approach. It considers the case of the free term having at most countable number of discontinuity points. The method, called successive approach, uses the solution on the previous interval (except the first one) for the condition on the given interval. The sequence of commands for a computer algebra system to this method is given.</p></abstract>

Generalized solution of a Cauchy problem given by a nonhomogeneous linear differential system is recovered to this approach. It considers the case of the free term having at most countable number of discontinuity points. The method, called successive approach, uses the solution on the previous interval (except the first one) for the condition on the given interval. The sequence of commands for a computer algebra system to this method is given.

A Note on Generalized Solution of a Cauchy Problem Given by a Nonhomogeneous Linear Differential System

University of Medicine, Pharmacy, Science and Technology “G.E. Palade” of Tîrgu Mureş

Acta Marisiensis. Seria Technologica

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

Generalized solution of a Cauchy problem given by a nonhomogeneous linear differential system is recovered to this approach. It considers the case of the free...

A Note on Generalized Solution of a Cauchy Problem Given by a Nonhomogeneous Linear Differential System

Published Online: Dec 12, 2020

Page range: 24 - 30

DOI: https://doi.org/10.2478/amset-2020-0015

Keywords
Cauchy problem, generalized solution, differential system, Laplace transform, computer algebra system

© 2020 Marcel Bogdan, published by Sciendo

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

A Note on Generalized Solution of a Cauchy Problem Given by a Nonhomogeneous Linear Differential System

Published Online: Dec 12, 2020

Page range: 24 - 30

DOI: https://doi.org/10.2478/amset-2020-0015

KeywordsCauchy problem, generalized solution, differential system, Laplace transform, computer algebra system

© 2020 Marcel Bogdan, published by Sciendo

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

Keywords
Cauchy problem, generalized solution, differential system, Laplace transform, computer algebra system