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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