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On the Recursive Sequence xn+1 = xn-7/1+xn-3

Dağıstan ŞİMŞEK | Peyil Esengul Kızı | Meerim İmaş Kızı

In this paper the solutions of the following difference equation is examined: x(n+1) = x(n-7)/1 + x(n-3), n = 0, 1, 2, 3, ... where the initial conditions are positive real numbers.

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Solution of the Rational Difference Equation xn+1 = xn-17/1+xn-5.xn-11

Dağıstan ŞİMŞEK | Burak OĞUL

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.

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Singularly Perturbed Parabolic Problem with Oscillating Initial Condition

Asan ÖMÜRALİEV | Ella ABILAYEVA

The aim of this paper is to construct regularized asymptotics of the solution of a singularly perturbed parabolic problem with an oscillating initial condition. The presence of a rapidly oscillating function in the initial condition has led to the appearance of a boundary layer function in the solution, which has the rapidly oscillating character of the change. In addition, it is shown that the asymptotics of the solution contains exponential, parabolic boundary layer functions and their products describing the angular boundary layers. Continuing the ideas of works [1, 3] a complete regularize ...More

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