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Zbl 1034.34096
Fu, Xianlong; Ezzinbi, Khalil
Existence of solutions for neutral functional differential evolution equations with nonlocal conditions. (English)
[J] Nonlinear Anal., Theory Methods Appl. 54, No. 2, A, 215-227 (2003). ISSN 0362-546X

By employing fractional power of operators and Sadovskii's fixed-point theorem, the authors study the existence of mild and strong solutions to semilinear neutral functional-differential evolution equations with nonlocal conditions.
[Qiru Wang (Guangzhou)]
MSC 2000:
*34K30 Functional-differential equations in abstract spaces
34K40 Neutral equations

Keywords: Existence of solutions; Semilinear neutral functional-differential evolution equation; Nonlocal Cauchy problem; Operator semigroup; Sadovskii's fixed-point theorem

Cited in: Zbl 1165.34044 Zbl 1064.34065

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