• English
    • français
  • English 
    • English
    • français
  • Login
View Item 
  •   Repository Home
  • Doctor of Philosophy Theses and Dissertations(PHD)
  • PHD-School of Pure And Applied Sciences
  • PHD-Department of Mathematics
  • PHD-Department of Mathematics
  • View Item
  •   Repository Home
  • Doctor of Philosophy Theses and Dissertations(PHD)
  • PHD-School of Pure And Applied Sciences
  • PHD-Department of Mathematics
  • PHD-Department of Mathematics
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Some investigations on singular cauchy problems

Thumbnail
View/Open
Full text Thesis (28.85Mb)
Date
2011-11-17
Author
Iyaya, Wanjala
Metadata
Show full item record
Abstract
The purpose of our study is to get a solution to the Cauchy problem of (i) The wave equation in n-dimension space Rn which is effectively a good example of regular Cauchy problems (ii) The Euler Poisson Darboux equation which we call singular Cauchy problem by use of Riemann's method. The Riemann-Green function for each case is calculated, which enables us to evaluate any solution at a point by the Cauchy data on a non-characteristic curve. In case (i) the Riemann-Green function is in terms of Legendre polynomial and the solution obtained is shown to solve the wave equation as well. In case (ii) the Riemann-Green function written in terms of the Appell's hyper geometric function of two variables is arrived at, this is of interest and may be a good model for a more general theory. A discussion of the generalized singular Cauchy problem of Euler-Poisson-Darboux equation is included and found to have solution that is continuous and analytic over the interval that contains the singular point.
URI
http://ir-library.ku.ac.ke/handle/123456789/1655
Collections
  • PHD-Department of Mathematics [25]

Designed by Library ICT Team copyright © 2017 
Contact Us | Send Feedback

 

 

Browse

All of RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

LoginRegister

Designed by Library ICT Team copyright © 2017 
Contact Us | Send Feedback