Introduction to Linear Systems of Differential Equations by L. Ya. Adrianova
Introduction to Linear Systems of Differential Equations (Translations of Mathematical Monographs) by L. Ya. Adrianova
English | Sep 15, 1995 | ISBN: 082180328X | 216 Pages | DJVU | 1 MB
English | Sep 15, 1995 | ISBN: 082180328X | 216 Pages | DJVU | 1 MB
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.