Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Pixley-Roy Hyperspaces Of Ω-Graphs, Joe Mashburn
Pixley-Roy Hyperspaces Of Ω-Graphs, Joe Mashburn
Mathematics Faculty Publications
The techniques developed by Wage and Norden are used to show that the Pixley-Roy hyperspaces of any two ω-graphs are homeomorphic. The Pixley-Roy hyperspaces of several subsets of Rn are also shown to be homeomorphic.
Optimal Intervals For Third Order Lipschitz Equations, Paul W. Eloe, Johnny Henderson
Optimal Intervals For Third Order Lipschitz Equations, Paul W. Eloe, Johnny Henderson
Mathematics Faculty Publications
For the third order differential equation (see PDF), subintervals of (a,b) of maximal length are characterized, in terms of the Lipschitz coefficients (see PDF) on which certain boundary value problems possess unique solutions. The techniques for determining best interval length involve applications of the Pontryagin Maximum Principle along with uniqueness implies existence arguments.