Some Results for Integral Inclusions of Volterra Type in Banach Spaces

被引：0
作者：
R. P. Agarwal
M. Benchohra
J. J. Nieto
A. Ouahab
机构：
[1] Florida Institute of Technology,Department of Mathematical Sciences
[2] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[3] Université de Sidi Bel-Abbès,Laboratoire de Mathématiques
[4] Universidad de Santiago de Compostela,Departamento de Analisis Matematico, Facultad de Matematicas
来源：
Advances in Difference Equations | / 2010卷
关键词：
Banach Space; Mild Solution; Fractional Differential Equation; Separable Banach Space; Measurable Selection;
D O I：
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摘要：
We first present several existence results and compactness of solutions set for the following Volterra type integral inclusions of the form: [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] is the infinitesimal generator of an integral resolvent family on a separable Banach space [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] is a set-valued map. Then the Filippov's theorem and a Filippov-Ważewski result are proved.
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