UNT Theses and Dissertations - 2 Matching Results

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Existence and Uniqueness Theorems for Nth Order Linear and Nonlinear Integral Equations

The purpose of this paper is to study nth order integral equations. The integrals studied in this paper are of the Riemann type.

Date: May 1969

Creator: Hurlbert, Gayle Jene Shultz

Item Type: Thesis or Dissertation

Partner: UNT Libraries

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A Genesis for Compact Convex Sets

This paper was written in response to the following question: what conditions are sufficient to guarantee that if a compact subset A of a topological linear space L^3 is not convex, then for every point x belonging to the complement of A relative to the convex hull of A there exists a line segment yz such that x belongs to yz and y belongs to A and z belongs to A? Restated in the terminology of this paper the question bay be given as follow: what conditions may be imposed upon a compact subset … more