The Cauchy problem for integro-differential equations
نویسندگان
چکیده
منابع مشابه
On the Semilinear Integro-differential Nonlocal Cauchy Problem
In this paper, we prove an existence theorem for the pseudo-nonlocal Cauchy problem x′(t) + Ax(t) = f(t, x(t), ∫ t t0 k(t, s, x(s))ds), x0(t0) = x0−g(x), where A is the infinitesimal generator of a C0 semigroup of operator {T (t)}t>0 on a Banach space. The functions f, g are weakly-weakly sequentially continuous and the integral is taken in the sense of Pettis.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1914
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1914-1500975-4