• Login
    View Item 
    •   ResearchSpace Home
    • College of Humanities
    • School of Education
    • Mathematics and Computer Science Education
    • Masters Degrees (Mathematics and Computer Science Education)
    • View Item
    •   ResearchSpace Home
    • College of Humanities
    • School of Education
    • Mathematics and Computer Science Education
    • Masters Degrees (Mathematics and Computer Science Education)
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    A classification of second order equations via nonlocal transformations.

    Thumbnail
    View/Open
    Thesis (2.010Mb)
    Date
    2000
    Author
    Edelstein, R. M.
    Metadata
    Show full item record
    Abstract
    The study of second order ordinary differential equations is vital given their proliferation in mechanics. The group theoretic approach devised by Lie is one of the most successful techniques available for solving these equations. However, many second order equations cannot be reduced to quadratures due to the lack of a sufficient number of point symmetries. We observe that increasing the order will result in a third order differential equation which, when reduced via an alternate symmetry, may result in a solvable second order equation. Thus the original second order equation can be solved. In this dissertation we will attempt to classify second order differential equations that can be solved in this manner. We also provide the nonlocal transformations between the original second order equations and the new solvable second order equations. Our starting point is third order differential equations. Here we concentrate on those invariant under two- and three-dimensional Lie algebras.
    URI
    http://hdl.handle.net/10413/3694
    Collections
    • Masters Degrees (Mathematics and Computer Science Education) [102]

    DSpace software copyright © 2002-2013  Duraspace
    Contact Us | Send Feedback
    Theme by 
    @mire NV
     

     

    Browse

    All of ResearchSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsAdvisorsTypeThis CollectionBy Issue DateAuthorsTitlesSubjectsAdvisorsType

    My Account

    LoginRegister

    DSpace software copyright © 2002-2013  Duraspace
    Contact Us | Send Feedback
    Theme by 
    @mire NV