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- W151873992 abstract "We deduce strong and uniform ergodic theorems for r-times integrated solution families for the linear Volterra equation $$ uleft( t right) = fleft( t right) + int_0^t {aleft( {t - s} right)Auleft( s right)ds.} $$ Rates of optimal convergence and non-optimal convergence, and sharpness of non-optimal rate of ergodic limits and approximate solutions of the linear functional equation $$ uleft( t right) = fleft( t right) + int_0^t {aleft( {t - s} right)Auleft( s right)ds.} $$ are discussed. Specialization of the result to r-times integrated semigroups is observed." @default.
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- W151873992 date "2000-01-01" @default.
- W151873992 modified "2023-10-05" @default.
- W151873992 title "Ergodic Theorems with Rates for r-times Integrated Solution Families" @default.
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- W151873992 doi "https://doi.org/10.1007/978-3-0348-8413-6_20" @default.
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