Browsing Pure and Applied Mathematics by Subject "2019 Pure and Applied Mathematics Theses"

Now showing items 1-7 of 7

  • Foundation of Stochastic Modeling and Applications 

    Sani, Rahama Abdullahi (2019-06-22)
    This thesis presents an overview on the theory of stopping times, martingales and Brownian motion which are the foundations of stochastic modeling. We started with a detailed study of discrete stopping times and their ...

  • Integration in Lattice Spaces 

    Doumbia, Fatima (2019-06-22)
    The goal of this thesis is to extend the notion of integration with respect to a measure to Lattice spaces. To do so the paper is first summarizing the notion of integration with respect to a measure on R. Then, a construction ...

  • LaSalle Invariance Principle for Ordinary Differential Equations and Applications 

    Okolie, Patricia Ogochukwu (2019-06-23)
    The most popular method for studying stability of nonlinear systems is introduced by a Russian Mathematician named Alexander Mikhailovich Lyapunov. His work ”The General Problem of Motion Stability ” published in 1892 ...

  • Loss Function in Acturial Science and Estimation 

    Zulaihat, Hassan (2019-06-23)
    The non-life insurance pricing consists of establishing a premium or a tariff paid by the insured to the insurance company in exchange for the risk transfer. A key factor in doing that is properly estimating the distribution ...

  • Moore-Penrose Pseudoinverse and Applications. 

    Areji, Jonathan Gebechukwu (AUST, 2019-06-10)
    An underlying theorem due to Gauss and Lengendre asserts that for an over determined system, there are solutions that minimize kAx − bk 2 which is given by the generalized in-verse of the matrix A even when A is singular ...

  • Sobolev Spaces, Embedding Theorems and Applications to PDEs 

    Adams, Zekeri (2019-06-25)

  • Variational Inequality in Hilbert Spaces and their Applications 

    Udeani, Cyril Izuchukwu (2019-06-23)
    The study of variational inequalities frequently deals with a mapping F from a vector 0 space X or a convex subset of X into its dual X . Let H be a real Hilbert space and a(u, v) be a real bilinear form on H. Assume that ...