Existence of a Bounded Solution of a Non-Homogeneous Linear Planar Discrete System

conference paper

English

The paper is concerned with a two-dimensional linear non-homogeneous system of discrete equations y_1 (k + 1) = p(k)y_1(k) + q(k)y_2 (k) + g_1 (k) , y_2 (k + 1) = −q(k)y_1 (k) + p(k)y_2 (k) + g_2 (k) , where k = k_0 , k_0 + 1 , . . . , k_0 is a fixed integer, p(k), q(k) and g_i (k), i = 1 , 2 are real functions, and y_i (k) are unknown functions. Sufficient conditions are given guaranteeing that a particular solution of this system is bounded.

discrete system; bounded solution; linear planar system

DIBLÍK, J.; HARTMANOVÁ, M.

7. 6. 2024

American Institute of Physics

USA

9780735449541

AIP Conference Proceedings, Volume 3094, Issue 1, 7 June 2024, International Conference of Numerical Analysis and Applied Mathematics 2022, ICNAAM 2022

400003-1

400003-4

4

https://doi.org/10.1063/5.0210151