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Open Access Research

Existence results for abstract semilinear evolution differential inclusions with nonlocal conditions

Tao Zhu1*, Chao Song1 and Gang Li2

Author affiliations

1 Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, 211100, P.R. China

2 Department of Mathematics, Yangzhou University, Yangzhou, 225002, P.R. China

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Citation and License

Boundary Value Problems 2013, 2013:153  doi:10.1186/1687-2770-2013-153

Published: 1 July 2013

Abstract

In this paper, we use a new method to study semilinear evolution differential inclusions with nonlocal conditions in Banach spaces. We derive conditions for F and g for the existence of mild solutions. The results obtained here improve and generalize many known results.

MSC: 34A60, 34G20.

Keywords:
semilinear evolution differential inclusions; mild solutions; measure of noncompactness; upper semicontinuous