Existence of Semilinear Differential Equationswith Nonlocal Initial Conditions |
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Authors: | Xing Mei Xue |
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Affiliation: | (1) Department of Mathematics, Southeast University, Nanjing 210096, P. R. China |
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Abstract: | In this paper we give the existence of mild solutions for semilinear Cauchy problemsu'(t) = Au(t) + f(t, u(t)), t ∈¸ I, a.e. with nonlocal initial condition u(0) = g(u) + u 0 when the map gloses compactness in Banach spaces. |
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Keywords: | nonlocal condition compact semigroup mild solution |
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