  For a degenerate hyperbolic equation of the second kind, and with a spectral
parameter are studied the Cauchy problem, Cauchy-Goursat and Goursat in a new
class of generalized solutions and is given an example that shows the
importance of introducing the concept of such a class. Some operators with
Bessel functions in the nucleus are introduced and their basic properties are
studied. The important identities of these operators are helped to find an
explicit representations of the stated problems.
