Browsing by Author "Oğul, B."

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    Citation - WoS: 4
    Citation - Scopus: 5
    Dynamical Behavior of One Rational Fifth-Order Difference Equation
    (Vasyl Stefanyk Precarpathian Natl Univ, 2023) Oğul, B.; Simsek, D.
    In this paper, we study the qualitative behavior of the rational recursive equation xn+1 = +/- 1 +/- xnxn-1xn-2xn-3xn-4 xn-4 , n is an element of N0:= {0} ?N, where the initial conditions are arbitrary nonzero real numbers. The main goal of this paper, is to obtain the forms of the solutions of the nonlinear fifth-order difference equations, where the initial conditions are arbitrary positive real numbers. Moreover, we investigate stability, boundedness, oscillation and the periodic character of these solutions. The results presented in this paper improve and extend some corresponding results in the literature.
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    Article
    Citation - Scopus: 11
    Solution of Rational Difference Equation [pp. 125 - 141]
    (Watam Press, 2021) Oğul, B.; Şimşek, D.; İbrahim, T.F.
    The behavior of the solutions of the following system of difference equations is examined, [Formula Presented] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations. © 2021 Watam Press.