ON A SHAPKAREV’S METHOD OF DIFFERENTIATION AND TRANSFORMATION

Authors

  • Boro M. Piperevski Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Elena Hadzieva University of Information Science and Technology St. Paul The Apostle image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil15100013p

Keywords:

System of differential equations, solution, reducibility, invariance, method of differentiation and transformation

Abstract

This paper emphasises the contribution of Prof. Dr. Ilija A. Shapkarev in the field of differential equations, particularly in the existence and construction of polynomial solution of the ordinary differential equation (ODE) of n-th order, or equivalently, of system of n equations of first order. The method that he uses is called the method of differentiation and transformation (MDT). With this paper we give a review of his work and extension of the application of his method.

Downloads

Published

2015-01-01

Issue

Vol. 39 No. 1 (2015): 39 (LXV) 1 (2015)

Section

Articles

License

Copyright (c) 2015 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
B. M. Piperevski and E. Hadzieva, “ON A SHAPKAREV’S METHOD OF DIFFERENTIATION AND TRANSFORMATION”, Mat. Bilt., vol. 39, no. 1, pp. 13–17, Jan. 2015, doi: 10.37560/matbil15100013p.