Analysis and qualitative behaviour of a tenth-order rational difference equation

Autor: E. M. Elsayed, M. T. Alharthi
Jazyk: English<br />Portuguese
Rok vydání: 2024
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.64858
Popis: In this article, we examine the qualitative behavior of the solutions of the following di¤erence equation zn+1 = aZn-4 +bZn-4/cZn-4-dzn4; n = 0,1,.... where the initial conditions Z_9; Z_8; Z_7; Z_6; Z_5; Z_4; Z_3; Z_2; Z_1;Z0 are arbitrary non-zero real numbers and a, b, c, d are positive constants.
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