On a Volterra Property of an Problem of the Frankl Type for an Equation of the Mixed Parabolic-Hyperbolic Type

In the paper spectral properties of non-local boundary value problem for an equation of the parabolic-hyperbolic type is investigated. The non-local condition binds the solution values at points on boundaries of the parabolic and hyperbolic parts of the domain with each other. This problem was first formulated by T.Sh. Kal'menov and M.A. Sadybekov. They proved the unique strong solvability of the problem. In this paper we investigate one particular case of this problem. And we show that in this case the problem does not have eigenvalues.