The Malyuzhinets technique is reviewed based on his fundamental papers of the 1950s.
Subsequent developments are surveyed and recent advances are presented. The review is …

It is a little over 75 years since two of the most important mathematicians of the 20th century
collaborated on finding the exact solution of a particular equation with semi-infinite …

This paper proposes an efficient solution procedure for second–order functional difference
equations, and outlines this procedure through investigating electromagnetic–wave …

This article is concerned with the sound field generated by a fluid-loaded structural wave
travelling along the boundary of a two-dimensional duct with walls that have smoothly …

Abstract The Wiener-Hopf technique is a powerful aid for solving a wide range of problems
in mathematical physics. The key step in its application is the factorization of the Wiener …

This article is the first part of an investigation into the scattering of fluid coupled structural
waves by an angular discontinuity at the junction of two plates of different material …

The problem of diffraction by an arbitrary three-part impedance plane is delicate. Generally
the Green's functions involved in this problem are very complicated and the Wiener–Hopf …

We analyse model problems of stress-induced atomic diffusion from a point source or from
the surface of a material into an infinite or semi-infinite grain boundary, respectively. The …

The research undertaken in this thesis is in the broad area of diffraction theory. We consider
three separate and distinct problems of acoustic scattering with rectangular geometries …

Two semi-infinite elastic plates are joined along a line forming a wedge structure with
unilateral fluid loading in the outer sector of the two plates. The structure is modeled using …