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Asymptotics of the Solution of Parabolic Problems with Multipoint Stationary Phase

Asan ÖMÜRALİEV | Ella ABILAYEVA

The aim of this paper is to construct regularized asymptotics of the solution of a singularly perturbed parabolic problem when the limit operator has not range and with rapidly oscillating free term, its derivative of the phase vanishes at finite points. The vanishing of the first derivative of the phase of the free term induces transition layers. It is shown that the asymptotic solution of the problem contains parabolic, inner, corner and rapidly oscillating boundary-layer functions. Corner boundary-layer functions have two components: the first component is described by the product of parabo ...Более

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Solutions of the Rational Difference Equations xn+1 = xn-11/1+xn-2xn-5xn-8

Dağıstan ŞİMŞEK | Burak OĞUL

In this paper a solution of the following difference equation xn+1=xn-111+xn-2xn-5xn-8 was investigated, where x-11, x-10, ..., x-2, x-1, x0 ∈ (0, ∞).

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Topology of Soft Cone Metric Spaces

Dağıstan ŞİMŞEK

In Simsek's paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric space under some condition is a soft topological space according to elementary operations on soft sets.

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