Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664597 | Acta Mathematica Scientia | 2011 | 13 Pages |
Abstract
We study Hölder continuous solutions for the second order integro-differential equations with infinite delay on the line ℝ, where 0 < α < 1, A is a closed operator in a complex Banach space X, c ∈ ℂ is a constant, f∈ℂα(ℝ,X) and β,γ,δ∈L1(ℝ+). Under suitable assumptions on the kernels β, γ and δ, we completely characterize the Cα-well-posedness of (P1) by using operator-valued Ċα-Fourier multipliers.
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