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Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is constructed. In addition, the regularization method for singularly perturbed problems of S. A. Lomov is used for the first time for the asymptotic solution of a hyperbolic system. It is shown that this approach greatly simplifies the construction of the asymptotics of the solution for singularly perturbed differential equations of hyperbolic type.
In this study, quadratic convergent new bigeometric Newton's method (nBGNM) was developed. For this, the basic definitions and theorems of bigeometric analysis, which is one of the non-Newtonian analysis, were used. Using the bigeometric Taylor expansion, a convergence analysis of this new method was given. Also, the new bigeometric Newton method (nBGNM) was compared in detail with the geometric (multiplicative) Newton method (GNM) and the classical Newton method (NM).
Keyword: bigeometric analysis; bigeometric newton method; quadratic convergence; bigeometric taylor expansion
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 ...Более
This paper is a work on elementary soft (𝜖-soft) compact spaces. We first define the cofinite 𝜖- soft compact space and prove that the image of an 𝜖-soft compact space under a soft continuous mapping is 𝜖-soft compact space. We then examine the relationship between 𝜖-soft compact space and classical compact space and give an illustrative example.
The aim of this paper is to construct regularized asymptotics of the solution of a two-dimensional partial differential equation of parabolic type with a small parameter for all spatial derivatives and a rapidly oscillating free term.
The case when the first derivative of the phase of the free term at the initial point vanishes is considered. The two-dimensionality of the equation leads to the emergence of a two-dimensional boundary layer. The presence in the free term of a rapidly oscillating factor leads to the inclusion in the asymptotic of the boundary layer with a rapidly oscillating na ...Более
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.
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
Today, technology is growing fast and person can’t imagine life without technology and social networking sites like Facebook. As statistics show, people almost all over the world use Facebook in every day (Newswire, 2014), (Madge et al, 2009). In this paper, we study the intention for SNSs usage and the attitude of students toward SNS based instruction in one of the universities in the Kyrgyz Republic (KR) Computerization in KR started relatively later than in the rest of the world (Aitymov, 2005; Google, Hyperakt, Vizzuality, 2011), there is still low internet penetration rate in some distant ...Более
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
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.