The objective of this book is to construct a rigorous mathematical
approach to linear hereditary problems of wave propagation theory
and demonstrate the efficiency of mathematical theorems in
hereditary mechanics. By using both real end complex Tauberian
techniques for the Laplace transform, a classification of
near-front asymptotics of solutions to considered equations is
given-depending on the singularity character of the memory
function. The book goes on to derive the description of the
behavior of these solutions and demonstrates the importance of
nonlinear Laplace transform in linear hereditary elasticity. This
book is of undeniable value to researchers working in areas of
mathematical physics and related fields.
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