Linear Functional Equations and Convergence of Iterates
Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
The subject of this work is functional equations with direction towards linear functional equations. The .rst part describes function sets where iterates of the functions converge to a .xed point. In the second part the convergence property is used to provide solutions to linear functional equations by de.ning solutions as in.nite sums. Furthermore, this work contains some transforms to linear form, examples of functions that belong to di¤erent classes and corresponding linear functional equations. We use Mathematica to generate solutions and solve itera- tively equations.
Place, publisher, year, edition, pages
2012. , 61 p.
Functional Equations, Iterates, Convergence
IdentifiersURN: urn:nbn:se:umu:diva-56450OAI: oai:DiVA.org:umu-56450DiVA: diva2:534770
UppsokPhysics, Chemistry, Mathematics