2 papers
math.DS2015
Multiple slowly oscillating periodic solutions for x'(t) = f(x(t-1)) with negative feedback
Benjamin Kennedy, Eugen Stumpf
We consider the prototype equation x'(t) = f(x(t-1)) for delayed negative feedback. We review known results on uniqueness and nonuniqueness of slowly oscillating periodic solutions…
math.DS2008
Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations
Aaron Hoffman, Benjamin Kennedy
We prove the existence and uniqueness, for wave speeds sufficiently large, of monotone traveling wave solutions connecting stable to unstable spatial equilibria for a class of -…