Abstract:
In an unbounded domain, for the Gellerstedt equation with a singular coefficient, uniqueness and existence theorems for the solution of a problem with displacement condition on the internal characteristics and a condition like the Frankl condition on the degeneration segment of the equation are proved.
Keywords:unbounded domain, displacement conditions on internal characteristics, Tricomi singular integral equation with displacement in the "nonsingular", part of the kernel, non-Fredholm operator in the non-characteristic part of the equation, Wiener-Hopf equation, residue, index.
Fulltext:
PDF file (400 kB)