MOMENT CONDITIONS FOR A VOLTERRA INTEGRAL-EQUATION IN A BANACH-SPACE

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HANNSGEN, KB
WHEELER, RL
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O1 [数学];
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0701 ; 070101 ;
摘要
For a linear Volterra equation of scalar type in a Banach space, sufficient conditions are given for three related resolvent kernels to be integrable with respect to certain weights on the positive half-line. The problem arises in the study of energy decay in viscoelastic solids, and the results lead to integral estimates for the rate of this decay.
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页码:204 / 209
页数:6
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