Abstract
The present paper devoted to dual integral equations involving non stationary Heat conduction equation in the Laplace Transform for two dimensional symmetrical under mixed discontinuous boundaryconditions acted on level surface of semi space in spherical co-ordinates we find temperature distribution function of moving solid object along a surface of semi space with velocity v by consideration of non-stationary heat conduction equation and Heat source m (r, t) inside a disc of radius c, 1
r < c, outside of disc r > c, a temperature function m (r, t) is given. We use 2operational calculus method and dual integral equation for the solution of given boundary value problem.
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