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Journal Cover   International Journal of Advanced Mathematical Sciences
  [2 followers]  Follow
    
  This is an Open Access Journal Open Access journal
   ISSN (Print) 2307-454X - ISSN (Online) 2307-454X
   Published by Science Publishing Corporation Homepage  [12 journals]
  • Stochastic description of the dynamics of thrombo-embolus in an arterial
           compartment

    • Authors: Nzerem Francis Egenti, Orumie Cynthia Ukamaka
      Pages: 6 - 11
      Abstract: Thrombosis, the formation or presence of blood clot in an arterial segment, most often admit the detachment of an embolus which flows antegrade. Embolism, the blockage of artery by an embolus, is a medical emergency. In a bid to gain an insight into its deleteriousness, we studied the diffusion of the embolus in an arterial compartment by means of Fokker-Planck equation, and the eventual occlusion of a site of the artery where the embolus was lodged. The probability density function of its spatial coordinate at any time was the hallmark of the diffusion process. Analytic solution of the emerging stochastic equation was sought. This study implicated thrombo-embolism in cardiovascular events.
      PubDate: 2015-02-25
      Issue No: Vol. 3, No. 1 (2015)
       
  • Necessary and sufficient conditions for oscillations of first order
           neutral delay difference equations with constant coefficients

    • Authors: A. Murugesan, P. Sowmiya
      Pages: 12 - 24
      Abstract: In this paper, we establish the necessary and sufficient conditions for oscillation of the following first order neutral delay difference equation 
      \begin{equation*} \quad \quad \quad \quad \quad \quad \quad \quad \quad\quad \quad \quad \quad\Delta[x(n)+px(n-\tau)]+qx(n-\sigma)=0, \quad \quad n\geq n_0, \quad \quad \quad \quad \quad \quad {(*)} \end{equation*}
      where \(\tau\) and \(\sigma\) are positive integers, \(p\neq 0\) is a real number and \(q\) is a positive real number. We proved that every solution of (*) oscillates if and only if its characteristic equation
      \begin{equation*}\quad \quad \quad \quad\quad \quad \quad \quad\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad (\lambda-1)(1+p\lambda^{-\tau})+q\lambda^{-\sigma}=0\quad \quad \quad \quad \quad \quad \quad \quad {(**)} \end{equation*}
      has no positive roots.
      PubDate: 2015-04-22
      Issue No: Vol. 3, No. 1 (2015)
       
  • General solution and generalized Ulam-Hyers stability of a generalized n-
           type additive quadratic functional equation in Banach space and Banach
           algebra: direct and fixed point methods

    • Authors: S. Murthy, M. Arunkumar, V. Govindan
      Pages: 25 - 64
      Abstract: In this paper, the authors introduce and investigate the general solution and generalized Ulam-Hyers stability of a generalized n-type additive-quadratic functional equation.
      g(x + 2y; u + 2v) + g(x ô€€€ 2y; u ô€€€ 2v) = 4[g(x + y; u + v) + g(x ô€€€ y; u ô€€€ v)] ô€€€ 6g(x; u)
      + g(2y; 2v) + g(ô€€€2y;ô€€€2v) ô€€€ 4g(y; v) ô€€€ 4g(ô€€€y;ô€€€v)Where  is a positive integer with , in Banach Space and Banach Algebras using direct and fixed point methods.
      PubDate: 2015-05-19
      Issue No: Vol. 3, No. 1 (2015)
       
  • 2 - Variable AQCQ - Functional equation

    • Authors: M. Arunkuma, S. Hema Latha, E. Sathya
      Pages: 65 - 86
      Abstract: In this paper, the authors obtain the general solution and generalized Ulam - Hyers stability of a 2 - variable AQCQ functional equation
      \begin{align*}
      g(x+2y, u+2v)+g(x-2y, u-2v)& = 4[g(x+y, u+v) + g(x-y, u-v)]- 6g(x,u)\notag\\
      &~~+g(2y,2v)+g(-2y,-2v)-4g(y,v)-4g(-y,-v)
      \end{align*}
      using Hyers direct method. Counter examples for non stability is also discussed.
      PubDate: 2015-05-19
      Issue No: Vol. 3, No. 1 (2015)
       
  • Blow-up result in a Cauchy problem for the nonlinear viscoelastic
           Petrovsky equation

    • Authors: Erhan Pişkin
      Pages: 1 - 5
      Abstract: In this paper, we consider a Cauchy problem for the nonlinear viscoelastic Petrovsky equation. We obtain the blow up of solutions by applying a lemma due to Zhou.
      PubDate: 2014-12-13
      Issue No: Vol. 3, No. 1 (2014)
       
 
 
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