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 AbstractThe 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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