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Publication year : 2018 ✕Department : Uygulamalı Matematik ... ✕
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Solutions Of The Maximum Of Difference Equations = Maksimumlu Fark Denkleminin Çözümleri

Dağıstan ŞİMŞEK

The behaviour and periodicity of the solutions of the following system of difference equations is examined (1) where the initial conditions are positive real numbers

Article 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 1 ) 112 Views
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Solutions Of The Rational Difference Equations = Rasyonel Fark Denkleminin Çözümleri

Burak OĞUL | Dağıstan ŞİMŞEK

In this paper the solutions of the following difference equation is examined, (1) where the initial conditions are positive real numbers.

Article 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 1 ) 103 Views
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Application of Faber Polynomials in Proving Combinatorial Identities

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the possibility of application of Faber polynomials in proving some combinatorial identities. It is shown that the coefficients of Faber polynomials of mutually inverse conformal mappings generate a pair of mutually invertible relations. We prove two identities relating the coefficients of Faber polynomials and the coefficients of Laurent expansions of the corresponding conformal mappings. Some examples are presented.

Article 2018 Fen Fakültesi Ukrainian Mathematical Journal70 ( 2 ) 69 Views
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Singularly Perturbed System of Parabolic Equations in the Critical Case

Asan ÖMÜRALİEV

We examine a system of singularly perturbed parabolic equations in the case where the small parameter is involved as a coefficient of both time and spatial derivatives and the spectrum of the limit operator has a multiple zero point. In such problems, corner boundary layers appear, which can be described by products of exponential and parabolic boundary-layer functions. Under the assumption that the limit operator is a simple-structure operator, we construct a regularized asymptotics of a solution, which, in addition to corner boundary-layer functions, contains exponential and parabolic boudar ...More

Article 2018 Fen Fakültesi Journal of Mathematical Sciences230 ( 5 ) 83 Views
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Bernstein–Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

We have obtained the pointwise Bernstein–Walsh type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space.

Article 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 83 Views
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The concept of Hukuhara Derivative and Aumann Integrals for Intuitionistic fuzzy number valued functions

Ömer AKIN

In this paper we have frstly defned a metric in intuitionistic fuzzy environment and studied its properties. Then we have proved that the metric space of fuzzy number valued functions is complete under this metric. We have studied the concept of Aumann integration for intuitionistic fuzzy number valued functions in terms of α and β cuts. We have given the relation between Hukuhara derivative and Aumann integral for intuitionistic fuzzy valued functions by using the fundamental theorem of calculus.

Article 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 2 ) 45 Views
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Solutions of the Rational Difference Equations

Dağıstan ŞİMŞEK | Peyil Esengul Kızı

In this paper the solutions of the following difference equation is examined

Article 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 2 ) 110 Views
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Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member

Asan ÖMÜRALİEV | Ella ABILAYEVA

In this paper we construct the asymptotics of the solution of the singularly perturbed parabolic problem with the stationary phase and the additive free term.

Article 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 2 ) 67 Views
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On the Recursive Sequence xn+1=xn−(k+1)1+xnxn−1…xn−k

Dağıstan ŞİMŞEK

A solution of the following difference equation is investigated:xn+1=xn−(k+1)1+xnxn−1…xn−k,n=0,1,2,… where x−(k+1); x−k; : : : ; x−1; x0 𝜖 (0;∞) and k = 0; 1; 2; : : :.

Article 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 2697 Views
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