2 papers
math.AP2021
Remarks on the preservation and breaking of translational symmetry for a class of ODEs
Edward Huynh, Keoni Castellano
In this paper, we provide both a preservation and breaking of symmetry theorem for -periodic problems of the form \begin{align*} \begin{cases} -u''(t) + g(u(t)) = f(t)\cr u(0)…
math.CA2021
The Second Raabe's Test and Other Series Tests
Edward Huynh
The classical D'Alembert's Ratio Test is a powerful test that we learn from calculus to determine convergence for a series of positive terms. Its range of applicability and ease of…