Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

In this paper, we report on the discovery of a previously-unknown type of long-range
instability phenomenon for the one-dimensional linear Schrödinger (LS) equation on the …

Considered here is a class of Boussinesq systems of Nwogu type. Such systems describe
propagation of nonlinear and dispersive water waves of significant interest such as solitary …

A novel method is presented for explicitly solving inhomogeneous initial-boundary-value
problems (IBVPs) on the half-line for a well-known coupled system of evolution partial …

The Maxey–Riley equation has been extensively used by the fluid dynamics community to
study the dynamics of small inertial particles in fluid flow. However, most often, the Basset …

We derive the solution of the one-dimensional wave equation for the Dirichlet and Robin
initial-boundary value problems (IBVPs) formulated on the half line and the finite interval …

This paper elaborates on a new approach for solving the generalized Dirichlet‐to‐Neumann
map, in the large time limit, for linear evolution PDEs formulated on the half‐line with time …

This article presents a new numerical method, which approximates Neumann type null
controls for the heat equation and is based on the Fokas method. This is a direct method for …

We describe a new form of diagonalization for linear two point constant coefficient
differential operators with arbitrary linear boundary conditions. Although the diagonalization …

We study the inhomogeneous Airy partial differential equation (also called Stokes or
linearized Korteweg-de Vries equation with a negative sign) on the half-line with generic …