Date of Award
12-19-2025
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Minh Nguyen
Abstract
We analyze a delayed second order differential equation with small delay parameters, proving spectral stability via the characteristic quasi-polynomial and establishing uniform bounds on derivatives of the Green’s function to ensure sign preservation under perturbation, providing a foundation for monotone iteration methods. These results aim to advance the functional-analytic framework for traveling wave solutions in delayed reaction-diffusion systems.
Recommended Citation
Hendrix, Jason, "Perron Theorem Application to a Second-Order Differential Equation with Small Advances" (2025). Theses and Dissertations. 1310.
https://research.ualr.edu/etd/1310
