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Existence results for semilinear differential inclusions

Published online by Cambridge University Press:  17 April 2009

Zhenbin Fan  and
Gang Li
Zhenbin Fan
Affiliation:
Department of Mathematics, Yangzhou University, Yangzhou, Jiangsu 225002, Peoples Republic of China, and Yangzhou Polytechnic College, Yangzhou, Jiangsu 225002, Peoples Republic of China, e-mail: [email protected]
Gang Li
Affiliation:
Department of Mathematics, Yangzhou University, Yangzhou, Jiangsu 225002, Peoples Republic of China
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In this paper we study the existence of mild solutions for Cauchy problem

We derive conditions under which the mild solutions exist, and also get the relative compactness of the solution set, which extend and improve some existing results in this area.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 76 , Issue 2 , October 2007 , pp. 227 - 241
Copyright
Copyright © Australian Mathematical Society 2007

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