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M. Piana
in the subset of the functions satisfying condition (23). In general, the regularised solution
can be represented in terms of the singular system of the integral operator, explicitly [3]:
N
Or n
f~ = ~ ~ + ~ (g, u~)~ (29)
r~=l
The choice of the regularisation parameter )~ is a crucial problem in Tikhonov method. To
this aim, there exist several criteria whose efficiency sensitively depends on the particular
problem which is studied. In this paper two methods have been applied [9]: Morozov's
Discrepancy Principle, according to which the best )~ is given by the solution of the equation: ...