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A variation-of-constants formula for a linear abstract evolution equation in Hilbert space

Published online by Cambridge University Press:  17 February 2009

Hanzhong Wu
Hanzhong Wu
Affiliation:
Department of Mathematics, Fudan University, Shanghai 200433, P. R. China; e-mail: hzwu@fudan.edu.cn.
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Abstract

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A variation-of-constants formula is obtained for a linear abstract evolution equation in Hilbert space with unbounded perturbation and free term. As an application, the state of the abstract controlled system with unbounded mixed controls is explicitly given.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 4 , April 2003 , pp. 583 - 590
Copyright
Copyright © Australian Mathematical Society 2003

References

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