A linear Volterra integro-differential equation for viscoelastic rods and plates

Noren, Richard D.

doi:10.1090/qam/910457

Author: Richard D. Noren
Journal: Quart. Appl. Math. 45 (1987), 503-514
MSC: Primary 45J05; Secondary 45D05, 73K05, 73K10
DOI: https://doi.org/10.1090/qam/910457
MathSciNet review: 910457
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Abstract: It is proved that the resolvent kernel of a certain Volterra integrodifferential equation in Hilbert space is absolutely integrable on $\left ( {0,\infty } \right )$. Weaker assumptions on the convolution kernel appearing in the integral term are used than in existing results. The equation arises in the linear theory of isotropic viscoelastic rods and plates.

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