More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...

Optimal control theory provides a rigorous mathematical framework for determining control policies that guide dynamical systems towards a desired performance, often by minimising an associated cost ...

This is a preview. Log in through your library . Abstract The Cauchy problem for a nonlinear functional differential equation is considered. A theorem on the existence of classical solutions defined ...

We study discounted Hamilton-Jacobi equations on networks, without putting any restriction on their geometry. Assuming the Hamiltonians are continuous and coercive, we establish a comparison principle ...