BOUNDED SOLUTIONS OF A SYSTEM OF TWO DISCRETE EQUATIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU144858" target="_blank" >RIV/00216305:26220/22:PU144858 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
BOUNDED SOLUTIONS OF A SYSTEM OF TWO DISCRETE EQUATIONS
Original language description
In the paper we consider two-dimensional linear non-homogeneous system of discrete equations y_1(k + 1) = py_1(k) + qy_2(k) + g_1(k), y_2(k + 1) = −qy_1(k) + py_2(k) + g_2(k), where k = a, a + 1, . . . with a fixed integer a ∈ N, p, q are real constants, g_i {a, a + 1, . . . } → R, i = 1, 2 are given functions. Sufficient conditions are derived guaranteeing the existence of a solution y(k) = (y_1(k), y_2(k)), k = a, a + 1, . . . satisfying y_1^2(k) + y_2^2(k) < M, where M is a given positive constant.
Czech name
—
Czech description
—

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)