Compact almost automorphic solutions to integral equations with infinite delay
نویسندگان
چکیده
منابع مشابه
Almost Automorphic Solutions to Integral Equations on the Line
Given a ∈ L(R) and A the generator of an L-integrable family of bounded and linear operators defined on a Banach space X, we prove the existence of almost automorphic solution to the semilinear integral equation u(t) = ∫ t −∞ a(t − s)[Au(s) + f(s, u(s))]ds for each f : R × X → X almost automorphic in t, for each x ∈ X, and satisfying diverse Lipschitz type conditions. In the scalar case, we pro...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2009
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.05.042