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

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 | References | Similar Articles | Additional Information

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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DOI:
https://doi.org/10.1090/qam/1900491

Article copyright:
© Copyright 2002
American Mathematical Society