DIFFERENTIAL EQUATIONS, DYNAMIC SYSTEMS AND OPTIMAL CONTROL

Linear recurrence equations in the space of convex polygons with non-intersecting solutions

A. S. Vaidzelevich

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus

Abstract: A necessary and sufficient condition is obtained for the coefficient matrix of a linear recurrence equation in the space of convex polygons, any two different solutions of which do not intersect, i. e. the values of the solutions for each argument are different.

Keywords: linear recurrence equations, convex polygons.

UDC: 517.962.2+517.929.2

Received: 24.07.2024
Revised: 02.10.2024
Accepted: 12.12.2024