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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.
Mumio is a valuable substance that ranges in color from pale brown to blackish-brown and is obtained from rock layers in various mountain ranges worldwide, particularly in the Tien Shan ranges of Kyrgyzstan. It is also a natural chemical found largely in the Himalayas, created over ages by the progressive degradation of particular plants by bacteria. Mumio is essentially a nutraceutical product with considerable human health advantages. To fully appreciate the predicted impact of mumio use in the medical area, particularly in neurological sciences, more research at both the fundamental biology ...More
In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them.-
На этом работе мы получили формулу для общего решения уравнений Риккати Для общего случае мы получили решений уравнения Риккати. Полученные результаты соответствует классическими результатами.
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
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 ...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.
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
In this problem, we study the solution to boundary value problem for a controlled oscillation process, described by Fredholm integro-differential equation with an inhomogeneous boundary condition. An algorithm is developed for constructing a generalized solution of boundary value problem. It is proved that a weak generalized solution is an element of Hilbert space. Approximate solutions of the boundary value problem are determined and their convergence is proved
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 ...More
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