2024
DOI: 10.5269/bspm.64858
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Analysis and qualitative behaviour of a tenth-order rational difference equation

E. M. Elsayed,
M. T. Alharthi

Abstract: In this article, we examine the qualitative behavior of the solutionsof the following di¤erence equationzn+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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