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A LINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATION FOR VISCOELASTIC RODS AND PLATES
RICHARD D. NOREN
Quarterly of Applied Mathematics
Vol. 45, No. 3 (October 1987), pp. 503-514
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43637452
Page Count: 12
You can always find the topics here!Topics: Differential equations, Volterra equations, Hilbert spaces, Linear transformations, Mathematical theorems, Viscoelasticity, Mathematical independent variables
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It is proved that the resolvent kernel of a certain Volterra integrodifferential equation in Hilbert space is absolutely integrable on (0, ∞). 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.
Quarterly of Applied Mathematics © 1987 Brown University