Document Type
Thesis
Date of Award
1999
School/College
College of Science, Engineering, and Technology (COSET)
Degree Name
MS in Mathematics
First Advisor
Willie E. Taylor
Abstract
The main goal is to study the pair of fourth order linear differential equations. (E) y"" - P(x)y = ° and (E+) y"" + P(x)y = ° Where P = P (x) is a positive, continuous function defined on [0, (0). These two equations have always been studied separately. The fact that either all the solutions of (E+) are oscillatory or all are non-oscillatory, while (E) always has a non-oscillatory solution, provides a demonstration of the apparent independence of the two equations in terms of oscillation. However, contrary to this evidence, it is shown that there is a relationship between (E) and (E+) that involves the oscillatory behavior of the solutions.
Recommended Citation
Dao, Bachyen, "A Study of Certain Fourth Order Linear Differential Equations" (1999). Theses (Pre-2016). 152.
https://digitalscholarship.tsu.edu/pre-2016_theses/152