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.
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 ...Daha fazlası
Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.
In this paper, solution of the following difference equation is examined
x(n+1) = x(n-17)/1+x(n-5).x(n-11)
where the initial conditions are positive reel numbers.
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.
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.