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On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]

Burak OĞUL

Article | 2019 | MANAS Journal of Engineering (MJEN)7 ( 2 )

The behaivour of the solutions of the following system of difference equations is examined, x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations

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

Dağıstan ŞİMŞEK | Burak OĞUL

Proceedings Paper | 2019 | Filomat33 ( 5 )

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.

On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]

Burak OĞUL

Article | 2020 | MANAS Journal of Engineering (MJEN)8 ( 2 )

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.

SOLUTION OF RATIONAL DIFFERENCE EQUATION

Burak OĞUL

Article | 2021 | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms28 ( 2 )

The behavior of the solutions of the following system of difference equations is examined, [Formula Presented] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations. Keyword: limit; Rational difference equation; solution; stability

Variational Formulation Of A Boundary-value Problem Corresponding To Forced Vibration Of An Imperfectly Bonded Bi-layered Plate-strip Resting On A Rigid Foundation

Elman HAZAR | Dağıstan ŞİMŞEK | Asan ÖMÜRALİEV | Burak OĞUL | Ella ABILAYEVA | Peyil Esengul Kızı

Article | 2015 | MANAS Journal of Engineering (MJEN)3 ( 2 )

In the present study, a boundary-value problem corresponding to forced vibration of an imperfectly bonded bi-layered plate-strip resting on a rigid foundation is considered. In the framework of three-dimensional linearized theory of elastic waves in initially stressed bodies, the mathematical modelling of considered problem is given. Then, the variational formulation of the problem considered is obtained in the framework of the principles of calculus of variation. The problem considered differs from the previous studies in the view of imperfect boundary conditions between the layers of the plate-stip and between the plate-strip and . . .the rigid foundation. - Keywords: Forced vibration, plate-strip, variational formulation More less

Maksimumlu Fark Denklem Sisteminin Çözümleri = Solutions of the System of Maximum Difference Equations

Burak OĞUL | Dağıstan ŞİMŞEK

Article | 2015 | MANAS Journal of Engineering (MJEN)3 ( 1 )

Aşağıdaki fark denklem sisteminin çözümlerinin davranışları incelenmiştir. - Anahtar sözcükler: Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler.

X(n+1)={1/x(n-1),y(n)/x(n)};y(n+1)={1/y(n-1),x(n)/y(n)} Maksimumlu Fark Denklem Sisteminin Çözümleri

Dağıstan ŞİMŞEK | Burak OĞUL

Article | 2016 | MANAS Journal of Engineering (MJEN)4 ( 1 )

Aşağıdaki fark denklem sisteminin çözümlerinin periyodikliği ve davranışları incelenmiştir.- Keywords: Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler, Periyodiklik

An Introduction To Soft Cone Metric Spaces And Some Fixed Point Theorems = Esnek Koni Metrik Uzaylara Giriş ve Bazı Sabit Nokta Teoremleri

Dağıstan ŞİMŞEK | Fahreddin ABDULLAYEV | Meerim İmaş Kızı | Ella ABILAYEVA | Burak OĞUL

Article | 2017 | MANAS Journal of Engineering (MJEN)5 ( 3 )

This paper is an introduction to soft cone metric spaces. We first define the concept of soft cone metric via soft elements and give basic properties of its. Then, we investigate soft convergence in soft cone metric spaces and prove some important fixed point theorems for contractive mappings on soft cone metric spaces.- Bu makale esnek koni metrik uzaylara bir giriştir. Önce esnek koni metrik uzayları, esnek eleman yardımıyla tanımladık ve onun temel özelliklerini verdik. Sonra esnek koni metrik uzaylarda esnek yakınsaklık kavramını inceledik ve esnek koni metrik uzaylar üzerinde daralma dönüşümü için bazı önemli sabit nokta teor . . .emleri ispatladık More less

Maksimumlu Fark Denklem Sisteminin Çözümleri = Solutions of the System of Maximum Difference Equations

Dağıstan ŞİMŞEK | Burak OĞUL

Article | 2016 | MANAS Journal of Engineering (MJEN)4 ( 2 )

Aşağıdaki fark denklem sisteminin çözümlerinin periyodikliği ve davranışları incelenmiştir. (1) Başlangıç şartları pozitif reel sayılardır.- Keywords: Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler

SOLUTION OF RATIONAL DIFFERENCE EQUATION

Burak OĞUL

Article | 2020 | Journal of Mathematical Analysis11 ( 5 )

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.

Solution of the Rational Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

Article | 2020 | Applied Mathematics and Nonlinear Sciences5 ( 1 )

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.

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