Publication Date
5-1-2008
Degree Program
Department of Mathematics and Computer Science
Degree Type
Master of Science
Abstract
The goal of time scale research is to progress the development of a harmonized theory that is all encompassing of the more commonly known specialized forms. The main results of this paper is the presentation of the Ramsey model which can be written using both the A and V operators, and solved using the two separate theories of the calculus of variations on time scales. The next presentation will be of the solution of an adjustment model, for a specific form of a time scale, whose functional can only be optimized, using the existing theory, when written with the A operator. We will also develop certain elements of stochastic time scale calculus, in order to lay the groundwork necessary to develop the theory of stochastic calculus of variations on time scales.
Disciplines
Mathematics
Recommended Citation
McMahon, Chris, "Calculus of Variations on Time Scales and Its Applications to Economics" (2008). Masters Theses & Specialist Projects. Paper 370.
https://digitalcommons.wku.edu/theses/370