Singular perturbation for Volterra equations of convolution type
نویسندگان
چکیده
منابع مشابه
Singular perturbation for Volterra equations of convolution type
Under the assumption that A is the generator of a twice integrated cosine family and K is a scalar valued kernel, we solve the singular perturbation problem (E2) 2 2u′′ 2 (t) + u ′ 2(t) = Au2(t) + (K ∗Au2)(t) + f2(t), (t ≥ 0)(2 > 0), when 2 → 0, for the integrodifferential equation (E) w′(t) = Aw(t) + (K ∗Aw)(t) + f(t), (t ≥ 0), on a Banach space. If the kernel K verifies some regularity condit...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2006
ISSN: 0096-3003
DOI: 10.1016/j.amc.2006.03.016