Analytic Perturbation Theory and Its Applications (Hardcover)

Analytic Perturbation Theory and Its ApplicationsAuthor(s): Konstantin E. Avrachenkov, Jerzy A. Filar, Phil G. Howlett\nFormat: Hardback\nPublisher: Society for Industrial & Applied Mathematics,U.S., United States\nImprint: Society for Industrial & Applied Mathematics,U.S.\nISBN-13: 9781611973136, 978-1611973136\nSynopsis\nMathematical models are often used to describe complex phenomena such as climate change dynamics, stock market fluctuations, and the Internet. These models typically depend on estimated values of key parameters that determine system behavior. Hence it is important to know what happens when these values are changed. The study of single-parameter deviations provides a natural starting point for this analysis in many special settings in the sciences, engineering, and economics. The difference between the actual and nominal values of the perturbation parameter is small but unknown, and it is important to understand the asymptotic behavior of the system as the p.