SINGLE-VALUED CORRECT SOLUTION OF PROBLEMS REDUCED TO SECOND-ORDER PARABOLIC-TYPE EQUATIONS BY APPLICATION OF THE LAPLAS TRANSFORM

One of the universal solution methods known from mathematical analysis is the method of integral transformations. The essence of this method is that the problem of investigating a given function is reduced to the problem of investigating the integral transformation of that function. Thus, during the transformation, the solution of complex problems is reduced to the form of solving simpler problems. It is known that there are various transformations in mathematical analysis. The most widely used transformation of these is the Laplace transform. The main essence of the Laplace transform is to find solutions to physical problems reduced to differential equations with known initial conditions and determine their correctness.