Boundary Value Problem for a Mixed-Type Equation with Singular Coefficients
M. Kh. RuzievRomanovsky Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, Uzbekistan
ABI
Abstract
In this paper we investigate a boundary value problem with the Frankl and Bitsadze–Samarskii conditions on the degeneration line and on parallel characteristics for a mixed-type equation with singular coefficients. The uniqueness of the solution to the problem is proved using the extremum principle. The theory of singular integral equations and Fredholm integral equations are used to prove the existence of a solution to the problem.