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Publication type : Proceedings Paper ✕Department : Uygulamalı Matematik ... ✕
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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 ...More

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 78 Views
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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, ∞).

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 60 Views
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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.

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 85 Views
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Uniform and Pointwise Estimates for Algebraic Polynomials in Regions with Interior and Exterior Zero Angles

Fahreddin ABDULLAYEV

In this study, we give some estimates on the Nikolskii-type inequalities for complex algebraic polynomials in regions with piecewise smooth curves having exterior and interior zero angles.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 2 ) 105 Views
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Exact Constants in Direct and Inverse Approximation Theorems for Functions of Several Variables in the Spaces S-p

Fahreddin ABDULLAYEV

In the paper, exact constants in direct and inverse approximation theorems for functions of several variables are found in the spaces S-p. The equivalence between moduli of smoothness and some K-functionals is also shown in the spaces S-p.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 124 Views
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Best Approximation of Holomorphic Functions from Hardy Space in Terms of Taylor Coefficients

Fahreddin ABDULLAYEV

We describe the set of holomorphic functions from the Hardy space H-q, 1

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 27 Views
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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.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 160 Views
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Asymptotics of Solution to the Nonstationary Schrodinger Equation

Asan ÖMÜRALİEV | Peyil Esengul Kızı

The Cauchy problem with a rapidly oscillating initial condition for the homogeneous Schrodinger equation was studied in [5]. Continuing the research ideas of this work and [3], in this paper we construct the asymptotic solution to the following mixed problem for the nonstationary Schrodinger equation: L(h)u ih partial derivative(t)u + h(2)partial derivative(2)(x)u - b(x,t)u = f(x,t) (x,t) is an element of Omega = (0,1) x (0,t], u vertical bar(t=0) = g(x), u vertical bar(x=0) = u vertical bar(x=1) = 0 where h > 0 is a Planck constant, u = u(x,t,h). b(x,t), f (x,t) is an element of C-infinity ...More

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 89 Views
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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.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 127 Views
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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

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 139 Views
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