In this paper we study two boundary value problems for the Lavrent’ev-Bitsadze model equation with one family of characteristics that twice cross the line of change of type. Boundary value problems for such equations reduce to elliptic boundary-value problems with displacements and singular integral equations with displacement. A disintegrating system of singular equations is obtained in the case when the boundary of the elliptic part is taken by a normal curve and the decomposable system of complete singular equations in the case of an arbitrary boundary of the Lyapunov class.
Lavrent’ev-Bitsadze model equation, singular equations, boundary value problems, Lyapunov class
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