Pure and Applied Mathematics Journal

Volume 2, Issue 6, December 2013

  • Generalized Order–k Pell–Padovan–Like Numbers by Matrix Methods

    Goksal Bilgici

    Issue: Volume 2, Issue 6, December 2013
    Pages: 174-178
    Received: 25 September 2013
    Accepted:
    Published: 30 November 2013
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    Abstract: Weconsider the third – order recurrence relation Q_n=2Q_(n-2)+Q_(n-3) with initial conditionsQ_0=1,Q_1=0 "and" Q_2=2 and define these numbers as Pell – Padovan – like numbers.We extend this definition generalized order – k Pell – Padovan – like numbers and give some relations between thesenumbers and the Fibonacci numbers. Wealso obtain some relati... Show More
  • Existence of Positive Solution for Fourth Order Superlinear Singular Semipositone Differential System

    Wang Feng, Junmin Zhang

    Issue: Volume 2, Issue 6, December 2013
    Pages: 179-183
    Received: 11 November 2013
    Accepted:
    Published: 10 December 2013
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    Abstract: By transforming the boundary value problem into the corresponding fixed-point problem of a completely continuous operator, the existence is obtained in the paper for two-point boundary value problem of fourth order superlinear singular semipositone differential system via the fixed point theorem concerning cone compression and expansion in norm typ... Show More
  • A Nonexistence of Solutions to a Supercritical Problem

    Kamal Ould Bouh

    Issue: Volume 2, Issue 6, December 2013
    Pages: 184-190
    Received: 04 December 2013
    Accepted:
    Published: 10 January 2014
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    Abstract: In this paper, we study the nonlinear elliptic problem involving nearly critical exponent (P_ϵ ) ∶ -∆u=K u^(□((n+2)/(n-2))+ϵ) in Ω ; u >0 in Ω and u=0 on ∂ Ω where is a smooth bounded domain in 〖IR〗^n n≥3, K is a C^3positive function and ϵ is a small positive real parameter. We prove that, for small, (Pε) has no positive solution... Show More
  • Modular Cone Metric Spaces

    Saeedeh Shamsi Gamchi, Asadollah Niknam

    Issue: Volume 2, Issue 6, December 2013
    Pages: 191-196
    Received: 31 December 2013
    Accepted:
    Published: 30 January 2014
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    Abstract: In this paper a generalization of a modular metric which is also a generalization of cone metric, is introduced and some of its topological properties are studied. Next, a fixed point theorem in this space is proved and finally by an example, it is proved that the fixed point result of the paper "Ch. Mongkolkeha, W. Sintunavarat, P. Kumam, Fixed po... Show More
  • Derivation of Energy Equation for Turbulent Flow with Two-Point Correlation

    Shams Forruque Ahmed

    Issue: Volume 2, Issue 6, December 2013
    Pages: 197-200
    Received: 08 December 2013
    Accepted:
    Published: 30 January 2014
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    Abstract: The energy equation for turbulent flow has been derived in terms of correlation tensors of second order, where the correlation tensors are the functions of space coordinates, distance between two points and time. An independent variable has been introduced in order to differentiate between the effects of distance and location. To reveal the relatio... Show More