Yazar "Tollu, D. T." seçeneğine göre listele

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    BEHAVIOR OF POSITIVE SOLUTIONS OF A DIFFERENCE EQUATION
    (KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM, 2017) Tollu, D. T.; Yazlik, Y.; Taskara, N.
    In this paper we deal with the difference equation y(n+1) -ay(n-1)/byny(n-1) +cy(n-1)y(n-2) +d, n is an element of N-0,N- where the coefficients a, b, c, d are positive real numbers and the initial conditions y-2, y-1, y-0 are nonnegative real numbers. Here, we investigate global asymptotic stability, periodicity, boundedness and oscillation of positive solutions of the above equation.
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    On fourteen solvable systems of difference equations
    (ELSEVIER SCIENCE INC, 2014) Tollu, D. T.; Yazlik, Y.; Taskara, N.
    In this paper, we mainly consider the systems of difference equations x(n+1) = 1+p(n)/q(n), y(n+1) = 1+r(n)/s(n), n is an element of N-0, where each of the sequences p(n); q(n); r(n) and s(n) represents either the sequence x(n) or the sequence y(n), with nonzero real initial values x(0) and y(0). Then we solve fourteen out of sixteen possible systems. It is noteworthy to depict that the solutions are presented in terms of Fibonacci numbers for twelve systems of these fourteen systems. (C) 2014 Elsevier Inc. All rights reserved.
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    On the Behaviour of Solutions for Some Systems of Difference Equations
    (EUDOXUS PRESS, LLC, 2015) Yazlik, Y.; Tollu, D. T.; Taskara, N.
    In this paper, we investigate the forms of the solutions of difference equation systems where the initial values are arbitrary nonzero real numbers such that the denominator is always nonzero. Also we deal with the behavior of the solutions of these systems.
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    On the solutions of a max-type difference equation system
    (WILEY, 2015) Yazlik, Y.; Tollu, D. T.; Taskara, N.
    In this paper, we study behavior of the solution of the following max-type difference equation system: x(n+1) = max {1/x(n), min {1,A/y(n)}}, y(n+1) = max {1/y(n), min {1,A/x(n)}}, n is an element of N-0, where N-0 = N boolean OR {0} , the parameter A is positive real number, and the initial values x(0,) y(0) are positive real numbers. Copyright (C) 2015 John Wiley & Sons, Ltd.
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    The periodicity and solutions of the rational difference equation with periodic coefficients
    (PERGAMON-ELSEVIER SCIENCE LTD, 2011) Taskara, N.; Uslu, K.; Tollu, D. T.
    In this paper, we give necessary and sufficient conditions for generalized solution and periodicity of the difference equation x(n+1) = p(n)x(n-k)+x(n-(k+1))/q(n)+x(n-(k+1)) with (k + 2)-periodic coefficients, where k is an element of N, x(-k-1), x(-k,) ... ,x(0) is an element of R. Also, we obtain that the generalized solution is periodic with (k + 1)-period. (C) 2011 Elsevier Ltd. All rights reserved.