Bounded solutions of nonlinear Cauchy problems
نویسندگان
چکیده
منابع مشابه
Bounded Convolutions and Solutions of Inhomogeneous Cauchy Problems
Let X be a complex Banach space, be bounded functions, and suppose that the singular points of the Laplace transforms of T and f do not coincide. Under various supplementary assumptions, we show that the convolution T f is bounded. When T(t) = I, this is a classical result of Ingham. Our results are applied to mild solutions of inhomogeneous Cauchy problems on R + : u 0 (t) = Au(t) + f(t) (t 0)...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2002
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337502208015