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Translations of Mathematical Monographs
1995; 204 pp; hardcover
List Price: US$93
Member Price: US$74.40
Order Code: MMONO/146
The theory of linear systems of differential equations is one of the cornerstones of the whole theory of differential equations. At its root is the concept of the Lyapunov characteristic exponent.
In this book, Adrianova presents introductory material and further detailed discussions of Lyapunov exponents. She also discusses the structure of the space of solutions of linear systems. Classes of linear systems examined are from the narrowest to widest: 1) autonomous, 2) periodic, 3) reducible to autonomous, 4) nearly reducible to autonomous, 5) regular.
In addition, Adrianova considers the following:
How perturbations of the coefficients change all the elements of the spectrum of the system is definitely the most complicated and involved problem in the whole theory of linear systems. Introduction to Linear Systems of Differential Equations presents the proof of the necessary and sufficient conditions for stability of the exponents for the simplest case of a two-dimensional diagonal system.
Graduate students and research mathematicians interested in the theory of differential equations.
"Gives a very good introduction to the theory of linear systems of differential equations ... One of the best features of the book is the very large number of examples ... suitable for research and graduate students working in the theory of differential equations and in mathematical applications ... gives a good foundation for the study of more involved and specialized parts of the theory of linear differential equations."
-- Zentralblatt MATH
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