Applied Analysis Research Papers - Academia.edu (original) (raw)

In this paper, we develop two-step collocation (2-SC) methods to solve two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the second kind. Here we convert a 2D-NVIE of the second kind to a one-dimensional case, and then... more

In this paper, we develop two-step collocation (2-SC) methods to solve two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the second kind. Here we convert a 2D-NVIE of the second kind to a one-dimensional case, and then we solve the resulting equation numerically by two-step collocation methods. We also study the convergence and stability analysis of the method. At the end, the accuracy and efficiency of the method is verified by solving two test equations which are stiff. In examples, we use the well-known differential transform method to obtain starting values.

Цель. Представить основные принципы подготовки прикладного аналитического текста. Тема обладает исключительной прикладной значимостью с точки зрения аналитического обеспечения управленческой деятельности и принятия политических решений.... more

Цель. Представить основные принципы подготовки прикладного аналитического текста. Тема обладает исключительной прикладной значимостью с точки зрения аналитического обеспечения управленческой деятельности и принятия политических решений. Статья адресована как студентам, начинающим заниматься прикладным политическим анализом, так и профессиональным аналитикам, работающим в научно-образовательной среде, исследовательских фондах и государственном управлении. Методы. На основании существующих методических разработок в рамках теоретических дисциплин и собственного практического опыта автор систематизирует информацию и формализует ключевые положения, необходимые для формирования навыков и умений подготовки прикладной политической аналитики Результаты. В статье показаны особенность аналитического стиля, его отличия от научного и публицистического текста. Введено и проанализировано понятие «формата» аналитического исследования. Показаны различия в подготовке открытой и закрытой аналитики. Показана роль заказчика аналитической работы. Показаны различия анализа информационного поля и реальных политических процессов. Особое внимание уделяется структурным особенностям и внутренней архитектонике аналитического текста, общей логике построения прикладного анализа в удобном для заказчика (лица, принимающего решения) виде. Акцентировано значение управленческих рекомендаций как главного итога аналитической работы. Научная новизна. Статья обладает практической и дидактической значимостью и направлена на формирование у читателей умений и навыков подготовки прикладного аналитического текста. Систематизирована (по сути, введена в научный оборот) проблематика подготовки аналитических текстов, обеспечивающих принятие и сопровождение политических и управленческих решений. Предложены конкретные инструменты прикладного политического анализа, значимые для управленческой практики.
Ключевые слова: аналитический текст, методология аналитической работы, политический анализ, прикладной анализ.

In this article, we study the best approximation in quotient probabilistic normed space. We define the notion of quotient space of a probabilistic normed space, then prove some theorems of approximation in quotient space are extended to... more

In this article, we study the best approximation in quotient probabilistic normed space. We define the notion of quotient space of a probabilistic normed space, then prove some theorems of approximation in quotient space are extended to quotient probabilistic normed space.

Generalized Fink-type identity for multi-variables to an arbitrary time scales is obtained, giving some multi-variate Ostrowski, Iyengar and Grüss-type inequalities unifying the corresponding continuous and discrete version. Some new... more

Generalized Fink-type identity for multi-variables to an arbitrary time scales is obtained, giving some multi-variate Ostrowski, Iyengar and Grüss-type inequalities unifying the corresponding continuous and discrete version. Some new applications to generalized polynomials are also obtained.

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. In the field of dynamical systems theory some work has been carried out... more

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. This article illustrates several applications of fractional calculus in robot manipulator path planning and control.

ABSTRACT: We consider an integro-differential equation, proposed in the literature as a model of neuronal activity. We establish conditions under which an initial activity function exhibiting localized pattern formation completely... more

ABSTRACT: We consider an integro-differential equation, proposed in the literature as a model of neuronal activity. We establish conditions under which an initial activity function exhibiting localized pattern formation completely characterizes the system. We also ...

In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established.... more

In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

In this paper we prove some results on the location of zeros of a certain class of polynomials which among other things generalize some known results in the theory of the distribution of zeros of polynomials.

Abstract. We define a semi-symmetric non-metric connection in a nearly Sasakian mani-fold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also... more

Abstract. We define a semi-symmetric non-metric connection in a nearly Sasakian mani-fold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability con-ditions ...

New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are given to show their relations with (F, ρ)-pseudoconvex, (F, ρ)-quasiconvex, and strictly (F, ρ)-pseudoconvex vector-valued functions. The... more

New classes of generalized (F, ρ)-convexity are introduced for vector-valued functions. Examples are given to show their relations with (F, ρ)-pseudoconvex, (F, ρ)-quasiconvex, and strictly (F, ρ)-pseudoconvex vector-valued functions. The sufficient optimality conditions and duality results are obtained for multiobjective programming involving generalized (F, ρ)-convex vector-valued functions.

In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established.... more

In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.