Pure and Applied Mathematics Journal

Volume 4, Issue 3, June 2015

  • Difficulties and Errors of 1st Grade Computer Teaching and Technology Department Students on Discontinuity Types of Partial Functions and Some Certain Functions

    Melis Minisker

    Issue: Volume 4, Issue 3, June 2015
    Pages: 66-69
    Received: 2 April 2015
    Accepted: 10 April 2015
    Published: 18 April 2015
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    Abstract: The aim of this study is to investigate difficulties and errors of 1st grade Computer Teaching and Technology Department students on discontinuity kinds of partial functions and some certain functions. The data is gathered by the questionnaire containing 10 open ended questions. The answers of students are categorized according to 0-3 points’ schem... Show More
  • An Extension of a Fixed Point Result in Cone Banach Space

    Elvin Rada, Agron Tato

    Issue: Volume 4, Issue 3, June 2015
    Pages: 70-74
    Received: 3 April 2015
    Accepted: 14 April 2015
    Published: 24 April 2015
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    Abstract: In this paper we study a class of mappings in a ConeBanach Space which have at least one fixed point. More precisely for a closed and convex subset C of a cone Banach space with a generalized norm that satisfy a special condition. We are proposing some extensions of the results of Karapinar.
  • Refined Definitions in Real Numbers and Vectors and Proof of Field Theories

    Edward T. H. Wu

    Issue: Volume 4, Issue 3, June 2015
    Pages: 75-79
    Received: 7 April 2015
    Accepted: 14 April 2015
    Published: 24 April 2015
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    Abstract: A set of new and refined principles and definitions in Real Numbers and Vectors are presented. What is a Vector? What is the meaning of the Addition of two Vectors? What is a Real Number? What is the meaning of their signs? What is the meaning of the Addition of two Real Numbers? What is the Summation Principle in Addition Operation? What is the Ca... Show More
  • MHD Micropolar Fluid Near a Vertical Plate with Newtonian Heating and Thermal Radiation in the Presence of Mass Diffusion

    Ahmed A. Bakr, Z. A. S. Raizah, Ahmed M. Elaiw

    Issue: Volume 4, Issue 3, June 2015
    Pages: 80-89
    Received: 19 April 2015
    Accepted: 22 April 2015
    Published: 13 May 2015
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    Abstract: The effects of chemical reaction and thermal radiation on unsteady free convection flow of a micropolar fluid past a semi-infinite vertical plate embedded in a porous medium in the presence of heat absorption with Newtonian heating have been investigated. Both physically important boundary conditions of uniform wall concentration (UWC) and uniform ... Show More
  • Generalized Riesz Sequence Space of Non-Absolute Type and Some Matrix Mapping

    Md. Fazlur Rahman, A. B. M. Rezaul Karim

    Issue: Volume 4, Issue 3, June 2015
    Pages: 90-95
    Received: 20 April 2015
    Accepted: 4 May 2015
    Published: 15 May 2015
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    Abstract: Recently several authors defined and studied Riesz sequence space r^q(u, p) of non-absolute type. In this paper for some weight s ≥ 0, we define the generalized Risez sequence space r^q(u, p, s) of non-absolute type and determine its Kothe-Toeplitz dual. We also consider the matrix mapping r^q(u, p, s) to l_∞ and r^q(u, p, s) to c, where l_∞ is th... Show More
  • Report

    Numerical Study on the Boundary Value Problem by Using a Shooting Method

    Md. Mizanur Rahman, Mst. Jesmin Ara, Md. Nurul Islam, Md. Shajib Ali

    Issue: Volume 4, Issue 3, June 2015
    Pages: 96-100
    Received: 28 April 2015
    Accepted: 15 May 2015
    Published: 26 May 2015
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    Abstract: In the present paper, a shooting method for the numerical solution of nonlinear two-point boundary value problems is analyzed. Dirichlet, Neumann, and Sturm- Liouville boundary conditions are considered and numerical results are obtained. Numerical examples to illustrate the method are presented to verify the effectiveness of the proposed derivatio... Show More
  • Maximum Principle and the Applications of Mean-Field Backward Doubly Stochastic System

    Hong Zhang, Jingyi Wang, Tengyu Zhao, Li Zhou

    Issue: Volume 4, Issue 3, June 2015
    Pages: 101-108
    Received: 22 April 2015
    Accepted: 5 May 2015
    Published: 1 June 2015
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    Abstract: Since Pardoux and Peng firstly studied the following nonlinear backward stochastic differential equations in 1990. The theory of BSDE has been widely studied and applied, especially in the stochastic control, stochastic differential games, financial mathematics and partial differential equations. In 1994, Pardoux and Peng came up with backward doub... Show More
  • The Maximum Principle of Forward Backward Transformation Stochastic Control System

    Li Zhou, Hong Zhang, Jie Zhu, Shucong Ming

    Issue: Volume 4, Issue 3, June 2015
    Pages: 109-114
    Received: 13 May 2015
    Accepted: 22 May 2015
    Published: 1 June 2015
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    Abstract: In the paper, we discuss the maximum principle for the forward backward stochastic system. Assume the system follows a coupled forward backward stochastic differential equation modulated by a Marlcov chain and the control domain is convex. By convex variable method, we give the necessary and sufficient conditions for the existence of optimal contro... Show More
  • The Mean Field Forward Backward Stochastic Differential Equations and Stochastic Partial Differential Equations

    Jie Zhu, Hong Zhang, Li Zhou, Yuhang Feng

    Issue: Volume 4, Issue 3, June 2015
    Pages: 120-127
    Received: 14 May 2015
    Accepted: 26 May 2015
    Published: 6 June 2015
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    Abstract: Since 1990 Pardoux and Peng, proposed the theory of backward stochastic differential equation Backward stochastic differential equation and is backward stochastic differential equations (short for FBSDE) theory has been widely research (see El Karoui, Peng and Cauenez, Ma and Yong, etc.) Generally, a backward stochastic differential equation is a t... Show More
  • Enumeration of Triangles in Cayley Graphs

    Levaku Madhavi, Tekuri Chalapathi

    Issue: Volume 4, Issue 3, June 2015
    Pages: 128-132
    Received: 12 May 2015
    Accepted: 23 May 2015
    Published: 11 June 2015
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    Abstract: Significant contributions can be found on the study of the cycle structure in graphs, particularly in Cayley graphs. Determination of Hamilton cycles and triangles, the longest and shortest cycles attracts special attention. In this paper an enumeration process for the determination of number of triangles in the Cayley graph associated with a group... Show More
  • Stochastic differential equation driven by the Wiener process in a Banach space, existence and uniqueness of the generalized solution

    Badri Mamporia

    Issue: Volume 4, Issue 3, June 2015
    Pages: 133-138
    Received: 15 December 2014
    Accepted: 16 December 2014
    Published: 11 June 2015
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    Abstract: In this paper the stochastic differential equation in a Banach space is considered for the case when the Wiener process in the equation is Banach space valued and the integrand non-anticipating function is operator-valued. At first the stochastic differential equation for the generalized random process is introduced and developed existence and uniq... Show More