On the solution of a mathematical model of a viscoelastic bar
A hyperbolic type equation with certain initial and boundary conditions, appropriate for application of the Mikusiński calculus, is considered. Similar problems appeared as mathematical models of the shock between a solid body and a viscoelastic bar.
The exact solution of the corresponding problem in the field of Mikusiński operators is constructed, and the character and regularity of the operational function solution of the problem is analyzed. Then the solution of the starting problem is obtained as a finite sum of continuous functions. An algorithm for constructing an approximate solution is given, and an example is presented.
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