Abstract
In the present paper, we consider a boundary value problem for a one-dimensional parabolic equation with integral conditions as boundary conditions. Boundary value problems for parabolic equations in which one local classical condition is replaced by an integral condition were studied in [1–4] by various methods. Integral conditions are much wider used as overdetermination conditions in the analysis of inverse problems for parabolic equations [5–7]. The idea of using two integral conditions instead of boundary conditions was suggested in [8], where the problem
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