Wellposedness and wave propagation for a class of integrodifferential equations in Banach space
Wellposedness and wave propagation for a class of integrodifferential equations in Banach space
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DOI：
10.1016/0022-0396(88)90011-3
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发表时间：
1988-08
影响因子：
2.4
通讯作者：
W. Desch;R. Grimmer;W. Schappacher
中科院分区：
文献类型：
--
作者：
W. Desch;R. Grimmer;W. Schappacher
In recent years there has been an increasing interest in the mathematical treatment of problems which originate in the theory of viscoelastic materials. In such problems the constitutive relations for these materials incorporate the history of the strain or the strain rate, and, in the linear theory, lead to linear Volterra integrodifferential equations with infinite memory in a Banach space X. The purpose of this paper is to examine the problems of wellposedness and wave propagation for one such equation. In particular, we are concerned with equations of the form x’(t)=/4 x (r)+ J’
