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Zbl 1035.34063
Ezzinbi, K.; Liu, James H.
Nondensely defined evolution equations with nonlocal conditions.
(English)
[J] Math. Comput. Modelling 36, No. 9-10, 1027-1038 (2002). ISSN 0895-7177

Summary: We establish some results concerning the existence and regularity of ``integral solutions'' for some nondensely defined evolution equations with nonlocal condition, where the linear part satisfies the Hille-Yosida condition. They extend the results on densely defined evolution equations.
MSC 2000:
*34G20 Nonlinear ODE in abstract spaces
34G25 Evolution inclusions

Keywords: Nondensely defined; Nonlocal conditions; existence; regularity; evolution equations

Cited in: Zbl 1064.34065

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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