Solution Representation and Indentification for Singular neutral Functional Differential Equations

The solutions for a class of Neutral Functional Di erential Equations (NFDE) with weakly singular kernels are studied. Using singular expansion techniques, a representation of the solution of the NFDE is obtained by studing an associated Volterra Integral Equation. We study the Collocation Method as a projection method for the approximation of solutions for Volterra Integral Equations. Particulary, the possibility of achieving higher order ap- proximations is discussed. Special attention is given to the choice of the projection space and its relation to the smoothness of the approximated solution. Finally, we study the identification problem for a parameter appearing in the weakly singular operator of the NFDE.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1996

Author dc:creator

• Cerezo, Graciela M.

Chair dc:contributor.committeechair

• Herdman, Terry L.

Committee members dc:contributor.committeemember

• Burns, John A.
• Cliff, Eugene M.
• Borggaard, Jeffrey T.
• Russell, David L.

• integral equations
• neutral functional differential equations
• parameter identification
• collocation method

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-2455212097410

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/30365