Sökning: "Asymptotics of solutions"

Visar resultat 1 - 5 av 11 avhandlingar innehållade orden Asymptotics of solutions.

  1. 1. On the Asymptotics of Increasing Dimension Models : Methods for Complete or Incomplete Data

    Författare :Peter Karlsson; Thomas Holgersson; Rolf Larsson; Högskolan i Jönköping; []

    Sammanfattning : In some multivariate contexts there is a close relation between the number of parameters (p) and the number of observations (n). In a situation where p grows with n it frequently happens that the statistic does not converge to its true parameter. LÄS MER

  2. 2. Titchmarsh-Weyl M-function asymptotics and some results in the inverse spectral theory for vector-valued Sturm-Liouville equations and a certain higher order ordinary differential equation

    Författare :Erik Andersson; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Functions; differential equations; Funktioner; differentialekvationer; Paley-Wiener.; The generalized Fourier transform; A certain higher order ordinary differential equation; Borg-Marchenko theorems; Vector-valued Sturm-Liouville equations; Inverse spectral theory; Titchmarsh-Weyl M-function asymptotics; Asymptotics of solutions; Spectral measure;

    Sammanfattning : This discourse is constituted by two separate reprots, where the first one offers an elementary deduction of the leading order term asymptotics for the Titchmarsh-Weyl M-function corresponding to a vector-valued Sturm-Liouville equation of the form -(PU')'+QU=zu, xin[0,b), with P^{-1},W,Q being hermitean with locally integrable entries; and under some additional conditions on P^{-1} and W. In the special case of P=W=I, we give some further asymptotic results for the same M-function. LÄS MER

  3. 3. Asymptotic analysis of solutions to elliptic and parabolic problems

    Författare :Peter Rand; Vladimir Kozlov; Mikael Langer; Vitali Liskevich; Linköpings universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Asymptotic behaviour; The Emden-Fowler equation; Parabolic system; Spectral splitting; Cylinder; Perturbation; MATHEMATICS; MATEMATIK;

    Sammanfattning : In the thesis we consider two types of problems. In Paper 1, we studysmall solutions to a time-independent nonlinear elliptic partial differential equation of Emden-Fowler type in a semi-infnite cylinder. The asymptotic behaviour of these solutions at infnity is determined. First, the equation under the Neumann boundary condition is studied. LÄS MER

  4. 4. Issues of incompleteness, outliers and asymptotics in high dimensional data

    Författare :Peter S. Karlsson; Thomas Holgersson; Ghazi Shukur; Åke E. Andersson; Högskolan i Jönköping; []

    Sammanfattning : This thesis consists of four individual essays and an introduction chapter. The essays are in the field of multivariate statistical analysis of High dimensional data. The first essay presents the issue of estimating the inverse covariance matrix alone and when it is used within the Mahalanobis distance in High-dimensional data. LÄS MER

  5. 5. Integrable Systems and Operator Equations

    Författare :Cornelia Schiebold; Mittuniversitetet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; integrable systems; operator equations; asymptotics of solutions; MATHEMATICS; MATEMATIK;

    Sammanfattning : .... LÄS MER