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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 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 ...Более
İnvaziv mantar hastalıklarının etkenlerinin tanımlanmasında direkt mikroskobik inceleme ve kültür halen altın standart yöntemleridir fakat mantar türleri açısından zor uygulanabilir olmalarından dolayı daha hassas olan moleküler genetik yöntemler tercih edilmektedir. Bu nedenle çalışmamızda moleküler yöntemler kullanılarak etkenin orijini/fungus genotipini tanımlamak amaçlanmıştır. Bakırköy Dr. Sadi Konuk Eğitim ve Araştırma Hastanesi’nde yatan veya polikliniklere başvuran 0 ile 78 yaş arasındaki hastalardan kan, idrar, balgam, diş, ağız içi ve vajen olmak üzere 150 klinik örnek değerlendirmey ...Более
In this paper, the generalized Simpson's rule (GSR) is applied to solve linear Fredholm-Stieltjes integral equations of the second kind (LFSIESK). A numerical example is presented to illustrate the method by using Maple. In some cases depending on the number of subintervals “n” , the results are calculated and compared. The graph of these results is plotted. An algorithm of this application is given by using Maple. -
Keywords: Approximate Solutions, Linear Fredholm-Stieltjes Integral Equations, Simpson's Rule.
In this paper a solution of the following of difference equations is examined, X(n 1)=x(n-3)/(1 x(n)x(n-1)x(n-2)) (1). -
Keywords: Difference Equation, Period Eight Solution
Aşağıdaki fark denklem sisteminin çözümlerinin periyodikliği ve davranışları incelenmiştir.-
Keywords: Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler, Periyodiklik
Aşağıdaki fark denklem sisteminin çözümlerinin periyodikliği ve davranışları incelenmiştir. (1) Başlangıç şartları pozitif reel sayılardır.-
Keywords: Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler
In this study, the influence of initial stress on a pre-stressed orthotropic plate-strip with finite length resting on a rigid half plane is investigated by utilizing Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies. The material of the plate-strip is assumed to be anisotropic. The total energy functional of the considered problem is developed. Also, finite element modeling is developed for the considered boundary-value problem.-
Keywords: Anisotropic material; Initial stress; Finite element method; Forced vibration; Time-harmonic load
In this study, the numerical solution of linear Volterra – Stieltjes equations of the second kind by using the generalized midpoint rule is established and investigated. The conditions on estimation of the error are determined and proved. One example is solved employing the proposed method.-
Keywords: Volterra – Stieltjes integral equation, linear integral equation of the second kind, generalized midpoint rule, error estimation.