Divergent Series and Generalized Mixed Problems for Heat Conduction and Schrödinger Equations of the Simplest Form

This paper is devoted to mixed problems for the heat equation and the Schrödinger equation of the simplest form, involving divergent series in the sense of Euler. In addition, we consider two divergent series of cosines associated with the indicated mixed problems. The sums of these series are obtained using the theory of generalized functions, and thus open up new ways of using generalized functions in mixed problems.