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2009 EXACT NULL CONTROLLABILITY OF ABSTRACT SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES
J. Y. Park, P. Balasubramaniam
Taiwanese J. Math. 13(6B): 2093-2103 (2009). DOI: 10.11650/twjm/1500405659

Abstract

Sufficient conditions for exact null controllability of the semilinear integrodifferential stochastic evolution equations in Hilbert space are obtained. It is shown that the exact null controllability of the corresponding linear system with additive term implies the exact null controllability of the semilinear functional integrodifferential stochastic evolution equations. An application to stochastic partial integrodifferential equations is given.

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J. Y. Park. P. Balasubramaniam. "EXACT NULL CONTROLLABILITY OF ABSTRACT SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES." Taiwanese J. Math. 13 (6B) 2093 - 2103, 2009. https://doi.org/10.11650/twjm/1500405659

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1193.93076
MathSciNet: MR2583539
Digital Object Identifier: 10.11650/twjm/1500405659

Subjects:
Primary: 93C40 , 93E03

Keywords: exact null controllability , Integrodifferential equations , Schauder fixed point theorem , semilinear stochastic evolution equation

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 6B • 2009
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