Singular solutions and symmetries of ordinary differential equations

[摘要] 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.

[发布机构] University:University of Glasgow

[关键词] Mathematics