Yazar "Tollu, Durhasan T." seçeneğine göre listele

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    BEHAVIOUR OF SOLUTIONS FOR A SYSTEM OF TWO HIGHER-ORDER DIFFERENCE EQUATIONS
    (EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE, 2018) Yazlik, Yasin; Tollu, Durhasan T.; Taskara, Necati
    In this paper, we investigate the global behavior of the positive solutions of the system of difference equations u(n+1) = au(n-k)/b + c Pi(k)(i=0) v(n-i)(r), v(n+1) = dv(n-k)/e + f Pi(k)(i=0) u(n-i)(r), n is an element of N-0, where the initial conditions u(-i), v(-i), (i = 0,...,k), and the parameters a, b, c, d, e, f, r are positive real numbers, by extending some recent results in the literature. Also, we estimate the rate of convergence of a solution that converges to the zero equilibrium point of the above mentioned system.
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    On the solutions of a three-dimensional system of difference equations
    (ACADEMIC PUBLICATION COUNCIL, 2016) Yazlik, Yasin; Tollu, Durhasan T.; Taskara, Necati
    In this paper, we obtain the explicit solutions of a three-dimensional system of difference equations with multiplicative tent's, extending some results in literature. Also, by using explicit forms of the solutions, we study the asymptotic behaviour of well-defined solutions of the system.
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    On the solutions of two special types of Riccati difference equation via Fibonacci numbers
    (SPRINGER INTERNATIONAL PUBLISHING AG, 2013) Tollu, Durhasan T.; Yazlik, Yasin; Taskara, Necati
    In this study, we investigate the solutions of two special types of the Riccati difference equation and such that their solutions are associated with Fibonacci numbers. MSC: 11B39, 39A10, 39A13.
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    A solvable system of difference equations
    (KOREAN MATHEMATICAL SOC, 2020) Taskara, Necati.; Tollu, Durhasan T.; Touafek, Nouressadat.; Yazlik, Yasin.
    In this paper, we show that the system of difference equations x(n )= ay(n-1)(p )+ b(x(n-2)y(n-1))(p-1)/cy(n-1) + dx(n-2)(p-1), y(n) = alpha x(n-1)(p )+ beta(y(n-2)x(n-1))(p-1)/gamma x(n-1) + delta y(n-2)(p-1), n is an element of N-0 where the parameters a, b, c, d, alpha, beta, gamma, delta, p and the initial values x(-2) , x(-1), y(-2), y(-1) are real numbers, can be solved. Also, by using obtained formulas, we study the asymptotic behaviour of well-defined solutions of aforementioned system and describe the forbidden set of the initial values. Our obtained results significantly extend and develop some recent results in the literature.