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Zbl 1044.45002
Liu, James H.; Ezzinbi, Khalil
Non-autonomous integrodifferential equations with non-local conditions. (English)
[J] J. Integral Equations Appl. 15, No. 1, 79-93 (2003). ISSN 0897-3962

The authors investigate the existence and uniqueness of mild and classical solutions for a non-autonomous semilinear integrodifferential equation with non-local Cauchy problems in Banach spaces.
[Hu Chuangan (Tianjin)]
MSC 2000:
*45N05 Integral equations in abstract spaces
45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations

Keywords: non-local condition; non-autonomous semilinear integrodifferential equation; resolvent operators; mild solution; classical solution; non-local Cauchy problems; Banach spaces

Cited in: Zbl 1045.34035

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