Geometric and function analytic approaches to the study of Sturm-Liouville theory

DSpace/Manakin Repository

Show simple item record

dc.contributor.author Roth, Thomas
dc.date.accessioned 2012-07-04T13:08:04Z
dc.date.available 2012-07-04T13:08:04Z
dc.date.issued 2012-07-04
dc.identifier.uri http://hdl.handle.net/10539/11611
dc.description.abstract Ordinary second order linear di erential boundary value problems are of great interest in the study of physical systems, despite this and the length of their history they have many aspects which have only recently been understood. The aim of this work is to examine the geometric and functional analytical approaches to the study of Sturm-Liouville eigenvalue problem with separated boundary conditions. In particular, the following sub-problems will be investigated: Self-adjointness, oscillation theory, variational formulations and the completeness of eigenfunction expansions. The construction of Self-adjoint operators will be studies through de ciency indicies and through symplectic geometry. After the classical variational problem is identi- ed and studied, Lusternik-Schnirelmann theory which is a topologically invariant variational principle will be examined en_ZA
dc.language.iso en en_ZA
dc.title Geometric and function analytic approaches to the study of Sturm-Liouville theory en_ZA
dc.type Thesis en_ZA


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search WIReDSpace


Advanced Search

Browse

My Account

Statistics