Bounded Solutions of a Triangular System of Two Nonlinear Discrete Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F22%3APU144279" target="_blank" >RIV/00216305:26220/22:PU144279 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1063/5.0081826" target="_blank" >https://doi.org/10.1063/5.0081826</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0081826" target="_blank" >10.1063/5.0081826</a>

Result language
angličtina
Original language name
Bounded Solutions of a Triangular System of Two Nonlinear Discrete Equations
Original language description
A nonlinear triangular system of discrete equations u_1(k + 1) = q_1(k)u^p_1 (k), u_2(k + 1) = q_2(k)u^r_1(k)u^t_2(k) is considered where q_i: {a, a + 1,...} → (0, ∞), i = 1, 2 are given functions, a is a fixed positive integer and p, r, t are positive numbers. Sufficient conditions are given for the existence of a solution u = (u_1, u_2): {a, a + 1,...} → R × R such that its coordinates u_i, i = 1, 2 are between two given functions b_i, c_i: {a, a + 1,...} → R satisfying 0 ≤ b_i(k) < c_i(k) for every k ∈ {a, a + 1,...}.
Czech name
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Czech description
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Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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