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Polynomial decay for solutions of hyperbolic integrodifferential equations. (English) Zbl 1163.45008
A linear integrodifferential equation of second order in a Hilbert space is considered and it is shown that the solution tends to zero polynomially if the decay of the convolution kernel is polynomial. Both polynomials are of the same order.
Reviewer: Li Xing (Yinchuan)
MSC:
45N05 Abstract integral equations, integral equations in abstract spaces
45K05 Integro-partial differential equations
45M05 Asymptotics of solutions to integral equations
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References:
[1] Rivera, Boll.U.M.I. 6-B pp 1– (2003)
[2] Miller, Funkcialaj Ekvacioj 21 pp 279– (1978)
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