Singular solutions and symmetries of ordinary differential equations

Guschelbauer, Verena (2007) Singular solutions and symmetries of ordinary differential equations. MSc(R) thesis, University of Glasgow.

Abstract

The main objective of this thesis is to study singular solutions in the light of symmetries of ordinary differential equations. The practice of finding and using symmetries for integration and the use of differential forms in symmetry methods are introduced. Differential equations admitting singular solutions are introduced with emphasis on the Claimant equation and its generalizations. These equations are investigated from the symmetry point of view with special attention to the role of singular solutions in symmetry reduction methods.

• Item Type: Thesis (MSc(R))
• Qualification Level: Masters
• Additional Information: Adviser: Chris Athorne
• Keywords: Mathematics
• Date of Award: 2007
• Depositing User: Enlighten Team
• Unique ID: glathesis:2007-73992
• Copyright: Copyright of this thesis is held by the author.
• Date Deposited: 23 Sep 2019 15:33
• Last Modified: 23 Sep 2019 15:33
• URI: https://theses.gla.ac.uk/id/eprint/73992