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  • Articles  (22)
  • SpringerOpen  (22)
  • 2010-2014  (22)
  • Arabian Journal of Mathematics  (22)
  • 189202
  • Mathematics  (22)
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  • Articles  (22)
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  • Mathematics  (22)
  • 1
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    A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces (2014)
    SpringerOpen
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    Publication Date: 2014-12-19
    Description: In this paper, we consider the regularity criterion for the 3D MHD equations and prove that if the gradient of the pressure belongs to \({L^\frac{2}{2-r}(0,T;\dot X_r(\mathbb{R}^{3}))}\) with \({0\leq r\leq 1}\) , then the solution is smooth. Notice that we extend the result given by Gala (Appl Anal 92:96–103, 2013 ).
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  • 2
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    Some results on Fredholm and semi-Fredholm perturbations (2014)
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    Publication Date: 2014-06-25
    Description: In this paper, we investigate some properties of semi-Fredholm operators on Banach spaces. These results are applied to the determination of the stability of various essential spectra of closed densely defined linear operators. Also, we generalize some results in the literature and we extend and unify those obtained in Jeribi (J Math Anal Appl 271:343–358, 2002 ), Jeribi (J Math Anal Appl 275:222–237, 2002 ), Jeribi (Ser Math Inf 17:35–55, 2002 ), Jeribi (Arch Inequal Appl 2:123–140, 2004 ), Latrach and Dehici (J Math Anal Appl 259:277–301, 2001 ), Latrach and Paoli (J Aust Math Soc 77:73–89, 2004 ).
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  • 3
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    The descriptive complexity of the family of Banach spaces with the π -property (2014)
    SpringerOpen
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    Publication Date: 2014-08-30
    Description: We show that the set of all separable Banach spaces that have the π -property is a Borel subset of the set of all closed subspaces of C (Δ), where Δ is the Cantor set, equipped with the standard Effros-Borel structure. We show that if α 〈 ω 1 , the set of spaces with Szlenk index at most α which have a shrinking FDD is Borel.
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  • 4
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    Studying monoids is not enough to study multiplicative properties of rings: an elementary approach (2014)
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    Publication Date: 2014-09-25
    Description: The aim of these notes is to indicate, using very simple examples, that not all results in ring theory can be derived from monoids and that there are results that deeply depend on the interplay between “ + ” and “·”.
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  • 5
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    Comparison of deterministic and stochastic SIRS epidemic model with saturating incidence and immigration (2014)
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    Publication Date: 2014-10-01
    Description: The purpose of this work is to compare the stochastic and deterministic versions of an SIRS epidemic model. The SIRS models studied here include constant inflows of new susceptibles, infectives and removeds. These models also incorporate saturation incidence rate and disease-related death. First, we study the global stability of deterministic model with and without the presence of a positive flow of infectives into the population. Next, we extend the deterministic model system to a stochastic differential system by incorporating white noise. We show there is a unique positive solution to the system, and the long-time behavior of solution is studied. Mainly, we show how the solution goes around the endemic equilibrium and the disease-free equilibrium of deterministic system under different conditions on the intensities of noises and the parameters of the model. Finally, we introduce some numerical simulation graphics to illustrate our main results.
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  • 6
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    Erratum to: Morse relations and Fredholm deformations of v -convex contact forms (2014)
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    Publication Date: 2014-09-05
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  • 7
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    Extension closed properties on generalized topological groups (2014)
    SpringerOpen
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    Publication Date: 2014-06-05
    Description: In this paper, we continue to investigate some important results in generalized topological groups and we prove extension closed property for connectedness, compactness, and separability of generalized topological groups. Last, we define generalized topological group actions on generalized topological spaces and we establish a homeomorphism between action group and action space.
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  • 8
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    Multipliers on H ( p , q , α ) spaces (2014)
    SpringerOpen
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    Publication Date: 2014-06-05
    Description: Let f be an analytic function on the unit disc \({\mathbb{D}}\) and F ( a , b ; c ; z ) be the Gaussian hypergeometric function. We consider the operator T a , b , c on H ( p , q , α ) defined as T a , b , c f ( z ) =  f ( z ) * F ( a , b ; c ; z ), where * denotes the usual Hadamard/convolution product. We prove that the Taylor coefficients of F ( a , b ; c ; z ) are a multiplier from H ( p , q , α ) to H ( p , q , α + a + b − c − 1) under certain conditions on a , b and c . As a consequence, we generalize some well-known results on fractional derivatives and integrals. Furthermore, we supply some conditions on a , b and c under which F ( a , b ; c ; z ) lies in H ( p , q , α ).
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  • 9
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    On the asymptotic growth rate of the sum of p -adic-valued independent identically distributed random variables (2014)
    SpringerOpen
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    Publication Date: 2014-06-20
    Description: The p -adic semistable laws are characterized as weak limits of scaled summands of p -adic-valued, rotation-symmetric, independent, and identically distributed random variables whose tail probability satisfies some condition. In this article it is verified such scaled sums do not converge in probability, and some more precise estimates, corresponding to the law of iterated logarithm in the real-valued setting, are given to the asymptotic growth rate of the sum. The critical scaling order is explicitly given, over which the scaled sum almost surely converges to 0. On the other hand, under the critical order, the limit superior of the p -adic norm of the scaled sum diverges almost surely. Furthermore it is shown that, at the critical order, a crucial change of the asymptotic behavior of the scaled sum occurs according to the decay of the tail probability of the random variables. In this situation, the critical value for the order of the tail probability is also found.
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  • 10
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    A note on bimatrix game maximal Selten subsets (2014)
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    Publication Date: 2014-04-09
    Description: In this paper, we implement automatic procedures to enumerate all Nash maximal subsets of a bimatrix game and compute their dimensions. We propose a linear programming approach to identify extreme perfect Nash equilibria, enumerate all Selten maximal subsets and compute their dimensions. We present the E χ -MIPerfect and the EEE-Perfect algorithms which enumerate all extreme perfect Nash equilibria. We finally report and comment computational experiments on randomly generated bimatrix games with different size and density.
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