| Abstract: | The different methods of solving problems of viscoelasticity for hereditary media that employ Laplace transforms or exact solutions of integral equations for inaccurately approximated kernels inevitably introduce errors associated with the approximation and the inverse transformations. Accordingly, it is necessary to estimate the accuracy of these methods. It is shown that the kernels of the integral equations of viscoelasticity permit the estimation, with a certain accuracy, of upper and lower bounds directly for the solutions of these integral equations. In cases when the accuracy of the estimate is sufficient, there is no need to employ other methods of solution.Central Scientific-Research Institute of Machine Building, Moscow. Translated from Mekhanika Polimerov, Vol. 4, No. 6, pp. 976–985, November–December, 1968. |
