ScienceDaily News Release: A "Unified Theory" For Calculus

"Dynamic equations on time scales have been introduced in order to unify the theories of differential equations and of difference equations and in order to extend those theories to other kinds of so-called 'dynamic equations.'"
The study of time scales has led to such applications as the study of insect population models. "Time scales calculus has a tremendous potential for applications," Bohner says. "It can model insect populations that are continuous while in season, die out in winter, while their eggs are incubating or dormant, and then hatch in a new season, giving rise to a non-overlapping population."