Abstract
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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© 1991 Springer-Verlag
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Hannsgen, K.B., Wheeler, R.L. (1991). Moment conditions for a Volterra integral equation in a Banach space. In: Busenberg, S., Martelli, M. (eds) Delay Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 1475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083492
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DOI: https://doi.org/10.1007/BFb0083492
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