An equation is a mathematical statement showing that two expressions are equal. The two expressions are linked with an equals symbol (=). The unknown variable (often the letter \(x\)) can take any ...

It is shown that if an almost periodic equation has an exponential dichotomy on a sufficiently long finite interval, then it has one on (-∞, ∞). Journal Information This monthly journal, begun in 1950 ...

Consider an evolution equation with energy dissipation, ${\textstyle\frac{\partial}{\partial t}}y(x,t)=Ay(x,t)+By(x,t)$ on a bounded x-domain Ω, where By signifies a dissipative perturbation to an ...