1 citations · 1 across the 19 of their papers we have counts for
19 papers
A Necessary Condition on the Collatz Conjecture
Kerry M. Soileau
The Collatz conjecture implies that an iterated function sequence under a certain linear operator, beginning with a certain complex valued function, must converge to a certain comp…
Definition and Existence of the Eigenderivative
Kerry M. Soileau
We define the eigenderivatives of a linear operator on any real or complex Banach space, and give a sufficient condition for their existence.
A Generalization of the Idea of Disjunction
Kerry M. Soileau
We generalize the concept of disjunction.
Consistency Spaces
Kerry M. Soileau
We introduce the concept of a consistency space. The idea of the consistency space is motivated by the question, Given only the collection of sets of sentences which are logically…
Defining the Mean of a Real-Valued Function on an Arbitrary Metric Space
Kerry Michael Soileau
We show how a metric space induces a linear functional (a "mean") on real-valued functions with domains in that metric space. This immediately induces a "relative" measure on a col…
Linearizing a certain family of nonlinear differential equations
Kerry M. Soileau
We show how to reduce the problem of solving members of a certain family of nonlinear differential equations to that of solving some corresponding linear differential equations.