Regularity properties of solutions of linear integro- differential equations with singular kernels
نویسندگان
چکیده
منابع مشابه
Singular perturbations of integro-differential equations
We study the singular perturbation problem (E2) 2 2u′′ 2 (t) + u ′ 2(t) = Au2(t) + (K ∗Au2)(t) + f2(t), t ≥ 0, 2 > 0, for the integrodifferential equation (E) w′(t) = Aw(t) + (K ∗Aw)(t) + f(t), t ≥ 0, in a Banach space, when 2 → 0. Under the assumption that A is the generator of a strongly continuous cosine family and under some regularity conditions on the scalar-valued kernel K we show that p...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 1990
ISSN: 0897-3962
DOI: 10.1216/jiea/1181075571