ON EXISTENCE AND CONSTRUCTION OF A GENERAL 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 \(n,m\in N\) exist, such that (9) for something \(p\in\{0,1,2,\ldots,m-2\}\).

In this case the polynomial solution of the systеm (1) will be given by the formula (10).

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Published

2001-01-01

Issue

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

Section

Articles

How to Cite

[1]
B. Piperevski, “ON EXISTENCE AND CONSTRUCTION OF A GENERAL POLYNOMIAL SOLUTION OF A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS’ SYSTEMS”, Mat. Bilt., vol. 25, no. 1, pp. 43–48, Jan. 2001, Accessed: Aug. 14, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1664