Oscillation criteria for two dimensional linear neutral delay difference systems
Mathematica Bohemica (2023)
- Volume: 148, Issue: 4, page 447-460
- ISSN: 0862-7959
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topTripathy, Arun Kumar. "Oscillation criteria for two dimensional linear neutral delay difference systems." Mathematica Bohemica 148.4 (2023): 447-460. <http://eudml.org/doc/299368>.
@article{Tripathy2023,
abstract = {In this work, necessary and sufficient conditions for the oscillation of solutions of 2-dimensional linear neutral delay difference systems of the form \[ \Delta \left[\begin\{matrix\} x(n)+p(n)x(n-m)\\ y(n)+p(n)y(n-m) \end\{matrix\} \right]= \left[\begin\{matrix\} a(n) & b(n) \\ c(n) & d(n) \end\{matrix\} \right]\left[\begin\{matrix\} x(n-\alpha )\\ y(n-\beta ) \end\{matrix\} \right] \]
are established, where $m>0$, $\alpha \ge 0$, $\beta \ge 0$ are integers and $a(n)$, $b(n)$, $c(n)$, $d(n)$, $p(n)$ are sequences of real numbers.},
author = {Tripathy, Arun Kumar},
journal = {Mathematica Bohemica},
keywords = {oscillation; nonoscillation; system of neutral equations; Krasnoselskii's fixed point theorem},
language = {eng},
number = {4},
pages = {447-460},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation criteria for two dimensional linear neutral delay difference systems},
url = {http://eudml.org/doc/299368},
volume = {148},
year = {2023},
}
TY - JOUR
AU - Tripathy, Arun Kumar
TI - Oscillation criteria for two dimensional linear neutral delay difference systems
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 4
SP - 447
EP - 460
AB - In this work, necessary and sufficient conditions for the oscillation of solutions of 2-dimensional linear neutral delay difference systems of the form \[ \Delta \left[\begin{matrix} x(n)+p(n)x(n-m)\\ y(n)+p(n)y(n-m) \end{matrix} \right]= \left[\begin{matrix} a(n) & b(n) \\ c(n) & d(n) \end{matrix} \right]\left[\begin{matrix} x(n-\alpha )\\ y(n-\beta ) \end{matrix} \right] \]
are established, where $m>0$, $\alpha \ge 0$, $\beta \ge 0$ are integers and $a(n)$, $b(n)$, $c(n)$, $d(n)$, $p(n)$ are sequences of real numbers.
LA - eng
KW - oscillation; nonoscillation; system of neutral equations; Krasnoselskii's fixed point theorem
UR - http://eudml.org/doc/299368
ER -
References
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