Semigroup theory provides a unified and a powerful tool for the study of differential equations on Banach space covering systems described by ordinary differential equations, partial differential equations, functional differential equations and combinations thereof. In recent years, among many other applications, semigroup theory has been widely used in the study of control and stability of systems governed by differential equations on Banach space. This monograph is an introduction to semigroup theory with applications to control and stability. Chapters I-VI cover semigroup theory with applications to linear, nonlinear and stochastic differential equations on Banach spaces. Chapter VII is devoted to a brief study of stability, control and filtering of infinite dimensional systems. The monograph is an outgrowth of a series of lectures given by the author at the department of mathematics of the University of Western Australia in Perth in the summer of 1988.
- ISBN10 0470217170
- ISBN13 9780470217177
- Publish Date 1 March 1991 (first published February 1991)
- Publish Status Out of Print
- Out of Print 14 October 2009
- Publish Country US
- Imprint John Wiley & Sons Inc
- Format Paperback
- Pages 282
- Language English