Expressions of solutions of ordinary differential equations by standard functions
DOI: https://doi.org/10.3846/13926292.2006.9637327Abstract
It is well known that solutions of many ordinary differential equations allow presentation in the power series form. In the paper we introduce and analyze rigorous conditions under which the later series (solutions) can be reduced to a finite sum of standard functions. Some areas of practical applicability of the proposed algorithm are discussed.
First Published Online: 14 Oct 2010
Keywords:
differential equations, algebraic progression, Van‐der‐Mond determinant, standard functionsHow to Cite
Navickas, Z., & Bikulčiene, L. (2006). Expressions of solutions of ordinary differential equations by standard functions. Mathematical Modelling and Analysis, 11(4), 399-412. https://doi.org/10.3846/13926292.2006.9637327
Share
License
Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
2006-12-31
Issue
Section
Articles
Copyright
Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Navickas, Z., & Bikulčiene, L. (2006). Expressions of solutions of ordinary differential equations by standard functions. Mathematical Modelling and Analysis, 11(4), 399-412. https://doi.org/10.3846/13926292.2006.9637327