Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2013; 50(1): 41-59

Printed January 1, 2013

https://doi.org/10.4134/JKMS.2013.50.1.41

Copyright © The Korean Mathematical Society.

Existence and controllability results for nondensely defined stochastic evolution differential inclusions with nonlocal conditions

Jinbo Ni, Feng Xu, and Juan Gao

Anhui University of Science and Technology, Anhui University of Science and Technology, Anhui University of Science and Technology

Abstract

In this paper, we investigate the existence and controllability results for a class of abstract stochastic evolution differential inclusions with nonlocal conditions where the linear part is nondensely defined and satisfies the Hille-Yosida condition. The results are obtained by using integrated semigroup theory and a fixed point theorem for condensing map due to Martelli.

Keywords: existence, controllability, stochastic inclusion, integrated semigroup, nondensely defined operator, integral solution

MSC numbers: 60H10