Avancerad sökning

Hittade 4 uppsatser som matchar ovanstående sökkriterier.

  1. 1. Embedded eigenvalues for asymptotically periodic ODE Systems

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Wilhelm Treschow; [2022]
    Nyckelord :embedded eigenvalue perturbation theory ODE theory; Mathematics and Statistics;

    Sammanfattning : In this thesis we investigate the persistance of embedded eigenvalues under perturbations of a certain self-adjoint Schrödinger-type differential operator in L^2(\mathbb{R},\mathbb{R}^n), with an asymptotically periodic potential. The studied perturbations are small and belong to a certain Banach space with a specified decay rate, in particular, a weighted space of continuous matrix valued functions. LÄS MER

  3. 2. Comparative Study of Several Bases in Functional Analysis

    Kandidat-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Maria Miranda Navarro; [2018]
    Nyckelord :Banach space; Hilbert space; Hamel basis; Schauder basis; Orthonormal basis;

    Sammanfattning : From the beginning of the study of spaces in functional analysis, bases have been an indispensable tool for operating with vectors and functions over a concrete space. Bases can be organized by types, depending on their properties. This thesis is intended to give an overview of some bases and their relations. LÄS MER

  4. 3. Simulation and Mathematical Analysis of a Task Partitioning Model of a Colony of Ants

    Kandidat-uppsats, Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Författare :Viktor Södergren; [2016]
    Nyckelord :Social insects; Ants; Task partitioning; Self-organization; Nonlinear operators; Dynamical systems; Fixed point theorems;

    Sammanfattning : In this thesis we study a mathematical model that describes task partitioning in a colony of ants. This process of self-organization is modeled by a nonlinear coupled system of rst order autonomous ordinary dierential equations. We discuss how this system of equations can be derived based on the behavior of ants in a colony. LÄS MER

  5. 4. Upper gradients and Sobolev spaces on metric spaces

    Uppsats för yrkesexamina på grundnivå, Matematiska institutionen

    Författare :David Färm; [2006]
    Nyckelord :capacity; measure; metric space; Sobolev space; upper gradient;

    Sammanfattning : The Laplace equation and the related p-Laplace equation are closely associated with Sobolev spaces. During the last 15 years people have been exploring the possibility of solving partial differential equations in general metric spaces by generalizing the concept of Sobolev spaces. LÄS MER