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Integrated semigroups and integrodifferential equations

Authors:

Institution:

1. Department of Mathematics, Southern Illinois Univeristy, 62901, Carbondale, IL
2. Department of Mathematics, James Madison University, 22807, Harrisonburg, Va

Abstract:

A class of partial integrodifferential equation from viscoelasticity is formulated as the abstract integrodifferental equations in Banach space $\mathbb{X}$ :

$\begin{gathered} x'(t) = A\left {x(t) + \int_0^t {F(t - s)x(s)ds} } \right] + Kx(t) + f(t),t \geqslant 0, \hfill \\ x(0) = x'_0 \hfill \\ \end{gathered}$

Keywords:
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