Gellerstedt Type Directional Derivative Problem for an Equation of the Mixed Type with a Spectral Parameter


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Resumo

For a two-dimensional equation of the mixed type with a spectral parameter, we consider a boundary value problem with a directional derivative on a half-circle and the Dirichlet condition on characteristic segments. The problem is reduced to an integro-differential equation for the boundary value of the conjugate function on the half-circle. It is shown that this equation is uniquely solvable and the leading part of the inverse operator can be found in closed form.

Sobre autores

A. Polosin

Lomonosov Moscow State University

Autor responsável pela correspondência
Email: alexei-polosin@mail.ru
Rússia, Moscow, 119991

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