"In this work, we study Abel dynamic equations of the first and the second kind. After a brief introduction to time scales, we introduce the Abel differential equations of the first and the second kind, as well as the canonical Abel form in the continuous case. Using the existing information, we derive novel results for time scales. We provide formulas for the Abel dynamic equations of the second kind and present a solution method. We furthermore achieve a special class of Abel equations of the first kind and discuss the canonical Abel equation. We get relations between common dynamic equations by analyzing relations between common differential equations in R. Examples for T = R illustrate our results for the Abel dynamic equations"--Abstract, page iii.
Bohner, Martin, 1966-
Hall, Leon M., 1946-
Mathematics and Statistics
M.S. in Mathematics and Statistics
Missouri University of Science and Technology
vi, 82 pages
© 2012 Sabrina Heike Streipert, All rights reserved.
Thesis - Open Access
Canonical correlation (Statistics)
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Link to Catalog Record
Streipert, Sabrina Heike, "Abel dynamic equations of the first and second kind" (2012). Masters Theses. 6914.