American Journal of Applied Mathematics

Volume 9, Issue 2, April 2021

  • Michael, Dowker, Worrell, Banerjee Theorems Extended to Multifunctions

    Terrence Anthony Edwards, James Edwards Joseph, Bhamini M. P. Nayar

    Issue: Volume 9, Issue 2, April 2021
    Pages: 38-43
    Received: 2 February 2021
    Accepted: 23 February 2021
    Published: 30 March 2021
    Abstract: E. Michael, in 1957, proved that the pracompactness is preserved by continuous closed functions from a space onto another. Michael’s proof is an immediate consequence of his characterization of paracompact spaces as those spaces with the property that each open cover of the space has a closure preserving refinement. Normality and transfinite induct... Show More
  • The Fermionic-bosonic Representations of A(M-1,N-1)-graded Lie Superalgebras

    Lingyu Yu

    Issue: Volume 9, Issue 2, April 2021
    Pages: 44-51
    Received: 17 March 2021
    Accepted: 31 March 2021
    Published: 10 April 2021
    Abstract: Lie groups, Lie algebras and their representation theories are important parts of mathematical physics. They play a crucial character in symmetries. As a generalization of Lie algebra, Lie superalgebras are from the comprehending and description for supersymmetry of mathematical physics. Unlike the semisimple Lie algebras, understanding the represe... Show More
  • On Approximate Controllability of Second Order Fractional Impulsive Stochastic Differential System with Nonlocal, State-dependent Delay and Poisson Jumps

    Krishnan Thiagu

    Issue: Volume 9, Issue 2, April 2021
    Pages: 52-63
    Received: 4 February 2021
    Accepted: 27 March 2021
    Published: 26 April 2021
    Abstract: The main scope of this paper is to focus the approximate controllability of second order (q∈(1,2]) fractional impulsive stochastic differential system with nonlocal, state-dependent delay and Poisson umps in Hilbert spaces. The existence of mild solutions is derived by using Schauder fixed point theorem. Sufficient conditions for the approximate co... Show More