Abstract:
In the paper an inverse boundary value problem for the thin plates bending equation with the additional integral condition
of the first kind is investigated. First, the initial problem is reduced to the equivalent problem,
for which the theorem of existence and uniqueness of solutions is proved.
Then, using these facts, the existence and uniqueness of the classical solution of initial problem is proved.
Key words:inverse boundary problem, equations of a bend of thin plates, method Fourier, classic solution.