Asymptotic and exact fundamental solutions in hereditary media with singular memory kernels

Hanyga, Andrzej; Seredyńska, M.

doi:10.1090/qam/1900491

Authors: Andrzej Hanyga and M. Seredyńska
Journal: Quart. Appl. Math. 60 (2002), 213-244
MSC: Primary 35Q72; Secondary 35A08, 35B40, 74D05, 74J05
DOI: https://doi.org/10.1090/qam/1900491
MathSciNet review: MR1900491
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Abstract: A method for constructing time-domain asymptotic solutions of hyperbolic partial differential equations with delay, with singular memory kernels, is presented. The asymptotic solutions are expressed in terms of basis functions that are regularizations of a sequence of distributions related by fractional integration.

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