This is a preview. Log in through your library . Abstract In this paper, the abstract Fatou-Naim-Doob theorem is used to investigate the boundary behavior of positive solutions of the heat equation on ...

Sufficient conditions are given for the existence, uniqueness and finite-dimensional approximation of the solution to a first-order infinite-dimensional vector differential equation. Given a suitable ...

It was a problem that had baffled mathematicians for centuries – until British professor Andrew Wiles set his mind to it. “There are no whole number solutions to the equation xn + yn = zn when n is ...