ON EXISTENCE AND CONSTRUCTION OF A POLYNOMIAL SOLUTION OF A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS' SYSTEMS

Authors

  • Boro Piperevski Ss. Cyril and Methodius University in Skopje image/svg+xml Author

Abstract

Theorem. Havіng \(ABCD(AD-BC)\ne 0\) the systеm (1) has a polynomial solution, iff \(n\in N\) exist and \(n\) is solution of equation (5). If equation (5) has two natural numbers' solutions then \(n\) is smaller.

In this case the polynomial solution of the systеm (1) will be given by the formula (6).

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Published

2001-01-01

Issue

Vol. 25 (2001): 25 (LI) (2001)

Section

Articles

License

Copyright (c) 2001 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
B. Piperevski, “ON EXISTENCE AND CONSTRUCTION OF A POLYNOMIAL SOLUTION OF A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS’ SYSTEMS”, Mat. Bilt., vol. 25, no. 1, pp. 37–42, Jan. 2001, Accessed: Aug. 14, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1663