This is a preview. Log in through your library . Abstract Using a representation in terms of a two-type branching particle system, we prove that positive solutions of the system u̇ = Au+uv, v̇ = Bv+uv ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

Researchers at the University of California, Los Angeles (UCLA) have developed an optical computing framework that performs ...

It is shown that if $P$ is a linear partial differential operator with analytic coefficients, and if $M$ is an analytic manifold of codimension 3 which is partially ...