The Hausdorff $h - m$ measure of the graph of a Riemann integrable function is shown to be finite provided $h$ satisfies an inequality related to the rate of ...

We construct a non-separable Banach space every nonzero element of which is a bounded derivative that is not Riemann integrable. This in particular improves a result presented in [3], where the ...

PROF. HODGE's work on this subject has long been awaited by his colleagues, and will be generally welcomed by them, though perhaps with mixed feelings when its difficulty is encountered. His lectures ...

Integrable systems and differential equations underpin a vast area of contemporary mathematical physics, where the synthesis of analytical techniques and geometric insight yields exact solutions to ...