Abstract: Paper devoted to dual integral equations involving
nonstationary heat condition equation in the Laplace transform image (L-transform)
for two dimentional symmetrical under mixed discontinuous boundary conditions
acted on level surface of semi-space cylindrical coordinates on where the line of discontinuity is
the disk thus it requires to investigate the
solution of parabolic partial differential equations with mixed boundary
conditions by using classical methods (Laplace transform and separation of
variables). The solution for the given boundary value problem is given in the
form of Fredholm integral equation of the second kind with unknown function
kernel and free time dependence of an L-transform
parameter.
Keywords and phrases: dual integral equation, mixed boundary conditions, heat equation.
