SOLUTION OF ONE MIXED PROBLEM FOR A NONHOMOGENEOUS HEAT EQUATION WITH TIME ADVANCE IN THE BOUNDARY CONDITIONS
Keywords:
mixed problem, time advance, residue methodAbstract
In this paper one-dimensional mixed problem for a nonhomogeneous heat equation with time advance in nonlocal boundary conditions is studied. Under minimal conditions on the data, the unique solvability is proved and an explicit analytic representation is obtained for the solution.