  A class of inverse problems for a heat equation with involution perturbation
is considered using four different boundary conditions, namely, Dirichlet,
Neumann, periodic and anti-periodic boundary conditions. Proved theorems on
existence and uniqueness of solutions to these problems are presented.
Solutions are obtained in the form of series expansion using a set of
appropriate orthogonal basis for each problem. Convergence of the obtained
solutions is also discussed.
