Date of Award

1995

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Peter Wolenski

Abstract

Sufficient conditions are given for a multifunction (set-valued function) to admit a continuously differentiable selection in one dimension. These conditions are given in terms of Clarke generalized gradients of the Hamiltonian associated with the multifunction. Also, the multifunctions in one dimension that can be parametrized with continuously differentiable functions are completely characterized. The characterization is again in terms of Clarke generalized gradients of the Hamiltonian associated with the multifunction.

Pages

64

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