Date of Award
6-30-2021
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics and Statistics
First Advisor
Nickolai Kosmatov
Abstract
We consider a nonlinear n-th order boundary value problem given arbitrary bounded linear functional conditions and develop a method that allows us to study all such resonance problems of order one, as well as implementing a more general constructive method for deriving existence criteria in the framework of the coincidence degree method of Mawhin. We demonstrate applicability of the formalism by giving an example for when n is 4.
Recommended Citation
Benham, Erin, "N-th Order Functional Problems with Resonance of Dimension One." (2021). Theses and Dissertations. 1019.
https://research.ualr.edu/etd/1019
