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- W2341058804 abstract "This work considers an abstract integrodifferential equation in Banach space:be & &u'(t)=A(ep)left[u(t)+int_0^t F(t-s)u(s),dsright]+Ku(t)+f(t), ,,tge0, nonumber & &u(0)=u_0, nonumbereewhere $A(ep)$ is a closed, linear, and non-densely defined operator, $ep$ is a multi-parameter, and $K$ and $F(t)$ are bounded operators. The purpose of this work is to study effect of the parameter on the solution of the equation. The approach used is based on the integrated semigroup theory. Two methods are employed to determine the continuity in parameter $ep$ of integrated semigroup, which is generated by $A(ep)$. The main theorems on the integrated semigroup can be effectively used to obtain the similar results for the solution of the equation. The applications of these results to some equations of viscoelasticity are discussed." @default.
- W2341058804 created "2016-06-24" @default.
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- W2341058804 date "2005-09-01" @default.
- W2341058804 modified "2023-09-24" @default.
- W2341058804 title "A CLASS OF INTEGRODIFFERENTIAL EQUATIONS AND APPLICATIONS" @default.
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- W2341058804 doi "https://doi.org/10.3934/proc.2005.2005.386" @default.
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