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An Analytic Study Of A System Of Nonlinear Ordinary Differential Equations At An Irregular Type Singularity, James M. Lamb

Masters Theses

No abstract provided.

Linear Operators Between Nonarchimedean Banach Spaces, Krishnamachari S. Nadathur

Dissertations

I Preliminaries

The purpose of this dissertation is to extend some classical results on compact and Fredholm operators to the case in which the linear spaces involved are non-archimedean normed linear spaces over a valued field.

In Section I are listed some definitions and basic concepts that are needed for a study of non-archimedean valuation theory. The concepts of tensor products of nonarchimedean Banach spaces over a spherically complete field F, and of the tensor product of operators, are also dealt with in this section.

The proofs of most of the results in Section II are based on the known …

On Hamiltonian - Connected Graphs, James E. Williamson

Dissertations

No abstract provided.

Loss Probabilities In Queueing Processes, R. P. Singh

Masters Theses

No abstract provided.

Local Connectivity In Graphs, Donald W. Vanderjagt

Dissertations

No abstract provided.

Severance Classes And Multiplicative Arithmetic Functions, Timothy B. Carroll

Dissertations

No abstract provided.

Imbedding Problems In Graph Theory, William Goodwin

Honors Theses

For some years there has been interest among mathematicians in determining the different ways in which certain graphs can be imbedded in given surfaces. M.P. VanStraten in 1948, determined that it is possible to imbed the graph K_3,3 (which is the graph representing the famous three houses, three utilities problem) in the torus in only two ways. She then used this fact to show that the graph representing the configuration of Desargues (containing K_3,3 as a subgraph) has genus two. One major source of motivation for the work on imbedding problems has been their relation to coloring problems …