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- W2520255786 abstract "In this paper the existence of solutions of a non-autonomous abstract integro-differential equation of second order is considered. Assuming the existence of an evolution operator corresponding to the associate abstract non-autonomous Cauchy problem of second order, we establish the existence of a resolvent operator for the homogeneous integro-differential equation and the existence of mild solutions to the inhomogeneous integro-differential equation. Furthermore, we study the existence of classical solutions of the integro-differential equation. Finally, we apply our results to the study of the existence of solutions of a non-autonomous wave equation." @default.
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- W2520255786 date "2016-09-15" @default.
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- W2520255786 title "Existence of solutions of abstract non-autonomous second order integro-differential equations" @default.
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- W2520255786 doi "https://doi.org/10.1186/s13661-016-0675-7" @default.
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