Vernon Bakke

Publication Date

7-13-1971

Abstract

In this problem necessary conditions are obtained for an optimal control problem ·whose state variables are given in terms of integral equations. The conditions are obtained separately for Volterra equations and Fredholm equations. The main result for each case is the maximum principle and multiplier rule. For the Volterra equations, transversality conditions are obtained.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Theodore N. Guinn

Second Committee Member

Richard Clyde Metzler

Third Committee Member

Illegible

Language

English

Document Type

Dissertation

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