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 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.
В рамках трехмерной линеаризированной теории устойчивости в случае неоднородных начальных напряженных состояний рассмотрены задача устойчивость и решен с помощью вариационных методов. Полученные результаты достаточно удовлетворительно соответствует точным решениям упругих и упруго-пластических задач при неоднородных пластических деформациях. -
Ключевые слова: устойчивость, упруго-пластических, реологических, полость, критическая нагрузка =
Stability problems for cases with unhomogenous initial tensions have been studied and solved in the fromework of Three dimensionel stability theory using ...Daha fazlası
Aşağıdaki fark denklem sisteminin çözümlerinin periyodikliği ve davranışları incelenmiştir. –
Anahtar Sözcükler: Fark Denklemi, Maksimum Operatörü, Yarı Dönmeler, Periyodiklik
Целью настоящей работы является описание смешанного метода исследования, позволяющего на основе единой группировки исходных данных решать задачи описательной статистики и построения гистограммы. Такого рода задачи являются основой практически каждого количественного анализа данных. Например, классический подход к фундаментальной задаче нахождения средних и построения гистограммы, назовем ее смешанной задачей, предусматривает разделение этой задачи на две отдельные типовые подзадачи: (1) нахождение средних величин : (2) построение гистограммы. Эти две отдельные задачи затем решаются по двум раз ...Daha fazlası
Solving trigonometric equations, diagrams, and graphics and visual images in the form of a better understanding of the problem as well as strategies for providing the information to be permanent. The graphical approach to the solution of equation system gives a wider perspective, conceptual learning, and facilitates the transfer of information . In this study, f (cosθ, sinθ) = 0, g (cosθ, sinθ) = 0, the two-equation system analytical transformations made a trigonometric equation f (x, y) = 0, g (x, y) = 0 equations created . These new correlations perpendicular to the same coordinate system, d ...Daha fazlası