Title page for ETD etd-2455212097410

Type of Document

Dissertation

Author

Cerezo, Graciela M.

URN

etd-2455212097410

Title

Solution Representation and Indentification for Singular neutral Functional Differential Equations

Degree

PhD

Department

Mathematics

Advisory Committee

Advisor Name	Title
Borggaard, Jeffrey T.
Burns, John A.
Cliff, Eugene M.
Russell, David L.
Herdman, Terry L.	Committee Chair

Keywords

integral equations
neutral functional differential equations
parameter identification
collocation method

Date of Defense

1996-12-06

Availability

unrestricted

Abstract

The solutions for a class of Neutral

Functional Differential 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

approximations 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.

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