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

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 pla ...Более

On A Class Of Recursive Sequence

Dağıstan ŞİMŞEK | Ahmet DOĞAN

In this paper, we study the following type of a recursive sequence where p ≥ 2, k ≥ 1 are fixed integers, with the initial values x(n) > 0 for n = -pk 1,-pk 2,…,0. Our results generalize some results in the literature. We give illustrating examples of which solutions are calculated and plotted by the MatLab programming. - Keywords: Convergence, pk periodic solution, recursive sequence.

Solutions Of The System Of Maximum Difference Equations = Maksimumlu Fark Denklem Sisteminin Çözümleri

Dağıstan ŞİMŞEK | Ahmet DOĞAN

The behaviour of the solutions of the following system of difference equations is examined. - Keywords: Difference Equation, Maximum Operations, Semicycle

Solution of the Rational Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

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.

Solution of the Maximum of Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Fahreddin ABDULLAYEV

In the recent years, there has been a lot of interest in studying the global behavior of, the socalled, max-type difference equations; see, for example, [1-17]. The study of max type difference equations has also attracted some attention recently. We study the behaviour of the solutions of the following system of difference equation with the max operator:paper deals with the behaviour of the solutions of the max type system of difference equations, x(n+1) = max {A/x(n-1) , y(n)/x(n)}; y(n+1) = max {A/y(n-1) , x(n)/y(n)}, (1) where the parametr A and initial conditions x(-1), x(0), y(-1), y(0 ...Более

Solution of the maximum of maximum difference equations xn+1=max{1/xn-3,yn/xn}, yn+1=max{1/yn-3,xn/yn}

Dağıstan ŞİMŞEK | Burak OĞUL

This paper deals with the behaivour of the solutions of the max‐type system of difference equations xn+1=max{1/xn-3,yn/xn}, yn+1=max{1/yn-3,xn/yn}, where the initial conditions are positive real numbers.

Bernstein-Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

Fahreddin ABDULLAYEV | Dağıstan ŞİMŞEK

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein-Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.

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.

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.

Solution of a Rational Difference Equation

Dağıstan ŞİMŞEK | Burak OĞUL | Meerim İmaş Kızı

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

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.