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In this paper the solutions of the following difference equation is examined,
x(n 1)=x(n (2k 1)) /1 x(n-k) (1)
where the initial conditions are positive real numbers.
Dağıstan ŞİMŞEK | Fahreddin ABDULLAYEV | Meerim İmaş Kızı | Ella ABILAYEVA | Burak OĞUL
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 dö ...More
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.
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 ...More
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.
The behaviour of the solutions of the following system of difference equations is examined. -
Keywords: Difference Equation, Maximum Operations, Semicycle
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.
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 ...More
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.