Nonlocal problem for a parabolic-hyperbolic equation in a rectangular domain.

For an equation of mixed type, namely, in the domain {( x, t) | 0 < x < 1, − α < t < β}, where α, β are given positive real numbers, we study the problem with boundary conditions . We establish a uniqueness criterion for the solution constructed as the sum of Fourier series. We establish the stability of the solution with respect to its nonlocal condition φ( x). [ABSTRACT FROM AUTHOR]