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Publication year : 2020 ✕Subject Headings : difference equations ✕
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Solution of the Rational Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

In this paper, solution of the following difference equation is examined x(n+1) = x(n-13)/1+x(n-1)x(n-3)x(n-5)x(n-7)x(n-9)x(n-11), where the initial conditions are positive real numbers.

Article 2020 Fen Fakültesi Applied Mathematics and Nonlinear Sciences5 ( 1 ) 131 Views
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Solution of the Maximum of Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

In the recent years, there has been a lot of interest in studying the global behavior of, the socalled, max-type difference equations; see, for example, [1-17]. The study of max type difference equations has also attracted some attention recently. We study the behaviour of the solutions of the following system of difference equation with the max operator:paper deals with the behaviour of the solutions of the max type system of difference equations, x(n+1) = max {A/x(n-1) , y(n)/x(n)}; y(n+1) = max {A/y(n-1) , x(n)/y(n)}, (1) where the parametr A and initial conditions x(-1), x(0), y(-1), y(0 ...More

Article 2020 Fen Fakültesi Applied Mathematics and Nonlinear Sciences5 ( 1 ) 51 Views
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On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]

Burak OĞUL

In this paper, given solutions fort he following difference equation x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equation. Also some numerical examples and graphs of solutions are given.

Article 2020 Fen Fakültesi MANAS Journal of Engineering (MJEN)8 ( 2 ) 35 Views
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SOLUTION OF RATIONAL DIFFERENCE EQUATION

Burak OĞUL

In this work we investigated the solution for the following difference equation x(n+1) = x(n)-17/1 + Pi(4)(t=0) x(n) - 3t-2 where x-17, x-16, ..., x-1, x(0) is an element of (0, infinity). Moreover, we gave a numerical example of to the solution the related difference equation.

Article 2020 Fen Fakültesi Journal of Mathematical Analysis11 ( 5 ) 95 Views
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