ON EXISTENCE AND CONSTRUCTION A POLYNOMIAL SOLUTION OF A CLASS OF MATRIX DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS

Authors

  • Boro Piperevski

Keywords:

matrix differential equation, differential equation, orthogonal polynomial, polynomial solution .

Abstract

A class of matrix differential equations is observed in this article. The   conditions, under which this class has a polynomial solution, are obtained. The formula of that polynomial solution is also obtained, and some special cases of this type of equations related to orthogonal polynomial are observed.

 

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Published

2019-12-14

Issue

Vol. 2 No. 2 (2019): BJAMI

Section

Articles

How to Cite

ON EXISTENCE AND CONSTRUCTION A POLYNOMIAL SOLUTION OF A CLASS OF MATRIX DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS. (2019). Balkan Journal of Applied Mathematics and Informatics, 2(2), 47-54. https://js.ugd.edu.mk/index.php/bjami/article/view/2889