On the Solvability of Some Systems of Nonlinear Difference Equations

The aim of this paper is to find formulas for the solutions of the nonlinear system of difference equations related to symmetry Pn+1=TnTn−2−Pn−3−Tn,Tn+1=PnPn−2±Tn−3±Pn, where the initial conditions P−3,P−2,P−1,P0,T−3,T−2,T−1, and T0 are arbitrary real numbers. Moreover, the theoretical results are verified through several numerical examples, which are simulated and graphically illustrated using mathematical programs.

Authors

Institutions

Publication Details

Journal
Symmetry
Published
2025-11-20
DOI
https://doi.org/10.3390/sym17112006
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On the Solvability of Some Systems of Nonlinear Difference Equations

Jawharah G. AL-Juaid
Symmetry
Mathematical and Theoretical Epidemiology and Ecology Models
article

On the Solvability of Some Systems of Nonlinear Difference Equations

Jawharah G. AL-Juaid
article en

Abstract

The aim of this paper is to find formulas for the solutions of the nonlinear system of difference equations related to symmetry Pn+1=TnTn−2−Pn−3−Tn,Tn+1=PnPn−2±Tn−3±Pn, where the initial conditions P−3,P−2,P−1,P0,T−3,T−2,T−1, and T0 are arbitrary real numbers. Moreover, the theoretical results are verified through several numerical examples, which are simulated and graphically illustrated using mathematical programs.

SymmetryVol. 17(11)
Taif University (SA)
Openalex Percentile: Top 54%
Mathematical and Theoretical Epidemiology and Ecology Models
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On the Solvability of Some Systems of Nonlinear Difference Equations — Jawharah G. AL-Juaid · Symmetry (2025) | TGRS Research Map | TGRS