Ma. Lyalinov, EXPLICIT SOLVABILITY OF A CLASS OF MALIUZHINETS EQUATIONS WITH MATRIXCOEFFICIENTS, Journal of physics. A, mathematical and general, 30(23), 1997, pp. 797-802
A coupled system of Maliuzhinets' functional equations for a pair of u
nknown functions is studied. It is shown that the system can be solved
in an explicit form for a specific but non-trivial class of its matri
x coefficients. Two examples arising in electromagnetic diffraction th
eory in a wedge-shaped region are briefly discussed.