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  • Articles  (58,776)
  • Oxford University Press  (56,303)
  • MDPI Publishing  (1,293)
  • SpringerOpen  (1,180)
  • Mathematics  (58,776)
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  • 1
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    Periodic solutions of a generalized system of piecewise linear difference equations (2015)
    SpringerOpen
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    Publication Date: 2015-08-12
    Description: In this article we consider the global behavior of the following system of piecewise linear difference equations: x n + 1 = | x n | − y n − b and y n + 1 = x n + | y n | where b is any positive real number and the initial condition ( x 0 , y 0 ) is an element of R 2 . By mathematical induction and direct computations we show that the solution to the system is eventually one of two particular prime period 3 solutions or the unique equilibrium solution.
    Print ISSN: 1687-1839
    Electronic ISSN: 1687-1847
    Topics: Mathematics
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  • 2
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    Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter (2015)
    SpringerOpen
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    Publication Date: 2015-08-13
    Description: Spectral analysis of a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter with spectral singularities was first studied by Aygar and Bohner (Appl. Math. Inf. Sci. 9(4):1725-1729, 2015). The main goal of this paper is to construct the principal vectors corresponding to the eigenvalues and the spectral singularities of this BVP. These vectors are important to get the spectral expansion formula for this BVP.
    Print ISSN: 1687-1839
    Electronic ISSN: 1687-1847
    Topics: Mathematics
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  • 3
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    A note on the Barnes-type q -Euler polynomials (2015)
    SpringerOpen
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    Publication Date: 2015-08-13
    Description: In this paper, we consider the Barnes-type q-Euler polynomials which are derived from the fermionic p-adic q-integrals and investigate some identities of these polynomials. Furthermore, we define the Barnes-type q-Changhee polynomials and numbers, and we derive some identities related with the Barnes-type q-Euler polynomials and the Barnes-type q-Changhee polynomials.MSC: 11B68, 11S40.
    Print ISSN: 1687-1839
    Electronic ISSN: 1687-1847
    Topics: Mathematics
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  • 4
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    Families of ν -similar birth-death processes and limiting conditional distributions (2015)
    SpringerOpen
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    Publication Date: 2015-08-14
    Description: We study, for a given process X , the conditions under which ν-similarity is provided, relations between similarity and ν-similarity of processes, and we analyze (doubly) limiting conditional distributions. We present sufficient conditions for the existence of at least one ν-similar process to a given one. Moreover, recursive formulas for birth and death rates of ν-similar processes are formulated. We apply differential equations and uniqueness of solutions to such equations to derive the main results of the paper. Finally, an example illustrates the applications of our results.MSC: 60J80, 42C05, 60J85.
    Print ISSN: 1687-1839
    Electronic ISSN: 1687-1847
    Topics: Mathematics
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  • 5
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    Spectral flow, crossing forms and homoclinics of Hamiltonian systems (2015)
    Oxford University Press
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    Publication Date: 2015-08-05
    Description: We prove a spectral flow formula for one-parameter families of Hamiltonian systems under homoclinic boundary conditions, which relates the spectral flow to the relative Maslov index of a pair of curves of Lagrangians induced by the stable and unstable subspaces, respectively. Finally, we deduce sufficient conditions for bifurcation of homoclinic trajectories of one-parameter families of non-autonomous Hamiltonian vector fields.
    Print ISSN: 0024-6115
    Electronic ISSN: 1460-244X
    Topics: Mathematics
    Published by Oxford University Press
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  • 6
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    Symmetry, Vol. 7, Pages 815-842: Cosmological Probes for Supersymmetry (2015)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2015-08-05
    Description: The multi-parameter character of supersymmetric dark-matter models implies the combination of their experimental studies with astrophysical and cosmological probes. The physics of the early Universe provides nontrivial effects of non-equilibrium particles and primordial cosmological structures. Primordial black holes (PBHs) are a profound signature of such structures that may arise as a cosmological consequence of supersymmetric (SUSY) models. SUSY-based mechanisms of baryosynthesis can lead to the possibility of antimatter domains in a baryon asymmetric Universe. In the context of cosmoparticle physics, which studies the fundamental relationship of the micro- and macro-worlds, the development of SUSY illustrates the main principles of this approach, as the physical basis of the modern cosmology provides cross-disciplinary tests in physical and astronomical studies.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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  • 7
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    Symmetry, Vol. 7, Pages 949-961: Conservation Laws and Exact Solutions of a Generalized Zakharov–Kuznetsov Equation (2015)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2015-08-05
    Description: In this paper, we study a generalized Zakharov–Kuznetsov equation in three variables, which has applications in the nonlinear development of ion-acoustic waves in a magnetized plasma. Conservation laws for this equation are constructed for the first time by using the new conservation theorem of Ibragimov. Furthermore, new exact solutions are obtained by employing the Lie symmetry method along with the simplest equation method.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
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  • 8
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    Symmetry, Vol. 7, Pages 935-948: Design of a Distributed Personal Information Access Control Scheme for Secure Integrated Payment in NFC (2015)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2015-08-05
    Description: At the center of core technologies for a future cyber world, such as Internet of Things (IoT) or big data, is a context-rich system that offers services by using situational information. The field where context-rich systems were first introduced is near-field communication (NFC)-based electronic payments. Near-field Communication (NFC) integrated payment services collect the payment information of the credit card and the location information to generate patterns in the user’s consumption or movement through big data technology. Based on such pattern information, tailored services, such as advertisement, are offered to users. However, there is difficulty in controlling access to personal information, as there is a collaborative relationship focused on the trusted service manager (TSM) that is close knit to shared personal information. Moreover, in the case of Hadoop, among the many big data analytical technologies, it offers access control functions, but not a way to authorize the processing of personal information, making it impossible to grant authority between service providers to process information. As such, this paper proposes a key generation and distribution method, as well as a secure communication protocol. The analysis has shown that the efficiency was greater for security and performance compared to relation works.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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  • 9
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    Symmetry, Vol. 7, Pages 962-975: Characterizations of Network Structures Using Eigenmode Analysis (2015)
    MDPI Publishing
    In: Symmetry
    Details
    Publication Date: 2015-08-05
    Description: We introduced an analysis to identify structural characterization of two-dimensional regular and amorphous networks. The analysis was shown to be reliable to determine the global network rigidity and can also identify local floppy regions in the mixture of rigid and floppy regions. The eigenmode analysis explores the structural properties of various networks determined by eigenvalue spectra. It is useful to determine the general structural stability of networks that the traditional Maxwell counting scheme based on the statistics of nodes (degrees of freedom) and bonds (constraints) does not provide. A visual characterization scheme was introduced to examine the local structure characterization of the networks. The eigenmode analysis is under development for various practical applications on more general network structures characterized by coordination numbers and nodal connectivity such as graphenes and proteins.
    Electronic ISSN: 2073-8994
    Topics: Mathematics , Physics
    Published by MDPI Publishing
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  • 10
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    On the hyper-order of solutions of two class of complex linear differential equations (2015)
    SpringerOpen
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    Publication Date: 2015-07-30
    Description: We investigate the hyper-order of solutions of two class of complex linear differential equations. We investigate the growth of solutions of higher order and certain second order linear differential equations, and we obtain some results which improve and extend some previous results in complex oscillations.MSC: 30D35, 34M10.
    Print ISSN: 1687-1839
    Electronic ISSN: 1687-1847
    Topics: Mathematics
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