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On the global asymptotic stability of a system of difference equations with quadratic terms
(Springer Heidelberg, 2021)
In this paper, we study the global asymptotic stability of following system of difference equations with quadratic terms: x(n+1) = A + B y(n)/y(n-1)(2), y(n+1) = A + B x(n)/x(n-1)(2) where A and B are positive numbers and ...
QUALITATIVE BEHAVIOURS OF A SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS
(Editura Bibliotheca-Bibliotheca Publ House, 2021)
The paper aims to study the dynamics of a system of nonlinear difference equations x(n+1) = x(n-1)y(n) + A, y(n+1) = y(n-1)x(n) + A where is real number. We especially investigate the stability of equilibrium points, ...
Global dynamics of a higher order difference equation with a quadratic term
(Springer Heidelberg, 2021)
In this paper, we investigate the dynamics of the following higher order difference equation x(n+1) = A + B x(n)/x(n-m)(2) with A, B and initial conditions are positive numbers, and m is an element of {2, 3, ...}. Especially ...
GENERALIZED TETRANACCI HYBRID NUMBERS
(Sciendo, 2021)
In this paper, we introduce the generalized Tetranacci hybrid numbers and, as special cases, Tetranacci and Tetranacci-Lucas hybrid numbers. Moreover, we present Binet's formulas, generating functions, and the summation ...