The Asymptotic Solution of Linear Differential Systems: Application of the Levinson Theorem (London Mathematical Society Monographs)

The modern theory of linear differential systems dates from the Levinson Theorem of 1948. It is only in more recent years, however, following the work of Harris and Lutz in 1974-7, that the significance and range of applications of the theorem have become appreciated. This book gives the first coherent account of the extensive developments of the last 15 years. The main results and techniques are clearly identified and earlier results, obtained originally by specialized methods in particular situations, are placed in a wider context. Some of the material is new, some is a re-presentation of existing theory in line with the main theme of the book, and much of it has appeared only recently in the research literature. By drawing together diverse materials in an organized, comprehensive account, the book should provide a stimulus to further research.